A cereal box has dimensions of 12" x 3" x 18". How many square inches of cardboard are used in its construction? A cereal box is a rectangular solid. The volume formula is V = lwh. Substituting these values of the cereal box in, we have: V = 12(3)(18) V = [B]648 cubic inches[/B]

A company’s number of personnel on active duty (not on sick leave or vacation leave) during the period 2000 - 2013 can be approximated by the cubic model f(x) = 2.5x^3 - 15x^2 - 80x + 1025, where x = 0 corresponds to 2000. Based on the model, how many personnel were on active duty in 2010? What is the domain of f? If x = 0 corresponds to 2000, when 2010 is 2010 - 2000 = 10. We want f(10): f(10) = 2.5(10)^3 - 15(10)^2 - 80(10) + 1025 f(10) = 2.5(1000) - 15(100) - 800 + 1025 f(10) = 2500 - 1500 - 800 + 1025 f(10) = [B]1,225[/B]

A cubical storage box has edges that are 2 feet 4 inches long. What is the volume of the storage box? Since 1 foot = 12 inches, we have: 2 feet 4 inches = 2(12) + 4 2 feet 4 inches = 24 + 4 2 feet 4 inches = 28 inches We type [URL='https://www.mathcelebrity.com/cube.php?num=28&pl=Side&type=side&show_All=1']cube side = 28[/URL] into our search engine to get: V = [B]21952 cubic inches[/B]

A cubicle is 6 1?2 feet by 8 3?4 feet. What is the area of the cubicle? Area of a cube is length times width: A = 8 & 3/4 * 6 & 1/2 We need to convert these to improper fractions. [LIST] [*]8 & 3/4 [URL='https://www.mathcelebrity.com/fraction.php?frac1=8%263%2F4&frac2=3%2F8&pl=Simplify']converted to an improper fraction[/URL] is 35/4 [*]6 & 1/2 [URL='https://www.mathcelebrity.com/fraction.php?frac1=6%261%2F2&frac2=3%2F8&pl=Simplify']converted to an improper fraction[/URL] is 13/2 [/LIST] Multiply the improper fractions together: A = 35/4 * 13/2 [URL='https://www.mathcelebrity.com/fraction.php?frac1=35%2F4&frac2=13%2F2&pl=Multiply']Using our fraction multiplier[/URL], we get: [B]455/8 sq ft[/B] If you want to convert this to a mixed fraction, we [URL='https://www.mathcelebrity.com/fraction.php?frac1=455%2F8&frac2=3%2F8&pl=Simplify']type this in our calculator [/URL]and get: [B]56 & 7/8 sq ft[/B]

A cupe-shaped tank has edge lengths of 1/2 foot. Sheldon used the expression s to the power of 3 = v to find the volume. What was the volume of the tank? 1/2 foot = 6 inches v = (6)^3 v = [B]216 cubic inches[/B]

A mug has 3 inch diameter and is 3.5 inches tall how much water can it hold A mug is a cylinder. If the diameter is 3, then the radius is 3/2 = 1.5. Using our cylinder volume calculator, we get: [B]V = 7.875pi or 24.74 cubic inches[/B]

A rectangular fish tank has a base that is 8 inches by 7 inches. How much water will it take to a depth of 5 inches The volume (V) or a rectangular solid is: V = lwh Using l = 8, w = 7, and h = 5, we have: V = 8(7)(5) V = [B]280 cubic inches[/B]

A rectangular prism has a width of [I]x[/I] feet, a length of [I]y[/I] feet, and a height of [I]h[/I] feet. Express its volume in square inches. V = width * length * height V = xyh 12 inches to a foot, so: In cubic feet, we have 12 * 12 * 12 = 1728 cubic inches V [B]= 1728xyh[/B]

A Sales Manager buys antacid in bottles by the gross. If he goes through 3 bottles of antacid everyday, how long will the gross last? [U][B]Calculate a gross[/B][/U] [URL='https://en.wikipedia.org/wiki/Gross_(unit)#:~:text=A%20gross%20refers%20to%20a,cubic%20dozen%2C%20123).']A gross equals[/URL] 144 because 1 gross = 12 dozen 12 dozen * 12 items/dozen = 144 [B] [U]Answer[/U][/B] Days lasted = Total Bottles / Bottles per day Days lasted = 144 bottles / 3 days [B]Days lasted = 48 days[/B]

A spacecraft with a volume of 800 cubic feet is leaking air at a rate of .4 cubic feet every [I]n[/I] minutes. How many minutes until the spacecraft has no air? 800 cubic feet / .4 cubic feet every n minutes = 2000 (n minute parts) Total time = [B]2000n[/B]

A stack of lumber is 8 feet wide, 5 feet high, and 2 feet long. Give the volume of the stack The lumber stack is a rectangular solid. The Volume V is found from the length (l), width (w), and height (h) by: V = lwh Plugging in our given values, we get: V = 2 * 8 * 5 V = [B]80 cubic feet[/B]

A storage box has a volume of 56 cubic inches. The base of the box is 4 inches by 4 inches. What is the height of the box? The volume of the box is l x w x h. We're given l and w = 4. So we want height: 56 = 4 x 4 x h 16h = 56 [URL='https://www.mathcelebrity.com/1unk.php?num=16h%3D56&pl=Solve']Type this equation into our search engine[/URL] and we get: h = [B]3.5[/B]

Anna is collecting boxes of cereal to deliver in a food bank. The volume of each cereal box is 324 cubic inches. The picture shows the cereal boxes she has collected so far. A large delivery box holds three times as many boxes as Anna collected. About what is the volume of the delivery box? The picture has 12 cereal boxes. Since the delivery box holds three times as many cereal boxes as Anna collected, the delivery box holds 12 * 3 = 36 cereal boxes. With each cereal box having a volume of 324 cubic inches, we have the total volume as: V = 324 cubic inches * 36 cereal boxes V = [B]11,664 cubic inches[/B]

Consider a paper cone, pointing down, with the height 6 cm and the radius 3 cm; there is currently 9/4 (pie) cubic cm of water in the cone, and the cone is leaking at a rate of 2 cubic centimeters of water per second. How fast is the water level changing, in cm per second?

Free Cubic Equation Calculator - Solves for cubic equations in the form ax³ + bx² + cx + d = 0 using the following methods:
1) Solve the long way for all 3 roots and the discriminant Δ
2) Rational Root Theorem (Rational Zero Theorem) to solve for real roots followed by the synthetic div/quadratic method for the other imaginary roots if applicable.

Don wants to bring some sand home from his vacation at the beach. He has a box that is 3 inches wide, 4 inches long, and 2 inches tall. How much sand can he fit in the box? We want the volume. The volume of a rectangular solid is found with the formula: V = lwh V = 4 * 3 * 2 V = [B]24 cubic inches[/B]

Find the volume of the box. The box shows the length is 6 feet, the width is 4 feet, and the height is 3 feet. The shape is a rectangular solid. The Volume (V) is shown below: V = lwh V = 6 * 4 * 3 V = [B]72 cubic feet[/B]

How many cubic inches are in a cubic foot? Volume of a cube with 12 inch (1 foot sides) = 12 * 12 * 12 = [B]1728 cubic inches[/B]

How much sand is needed to fill a pit that measures 8 meters deep, 10 meters wide, and 15 meters long? Explain your answer. The pit is a rectangular solid. The volume is: V = l * w * h V = 15 * 10 * 8 V = [B]1,200 cubic meters[/B]

If it takes 7 people 3 hours to dig a 50 cubic foot hole, how long will it take two people to dig the hole? 7 people * 3 hours = 21 hours per person 21 hours per person / 2 people = [B]10.5 hours[/B]

If cement cost $4 per cubic foot, how much does a cubic yard of cement cost? There are 3 feet in a yard 3 x 3 x 3 = 27 cubic feet in a yard Total cost = 27 cubic feet * $4 per cubic foot = [B]$108[/B]

Jethro wants a swimming pool in his backyard, so he digs a rectangular hole with dimensions 40 feet long, 20 feet wide, and 5 feet deep. How many cubic feet of water will the pool hold? This is a rectangular solid. The volume is l x w x h: V = 40 x 20 x 5 V = [B]4,000 cubic feet[/B]

Free Liquid Conversions Calculator - Takes a liquid measurement as seen in things like recipes and performs the following conversions: ounces, pints, quarts, gallons, teaspoon (tsp), tablespoon (tbsp), microliters, milliliters, deciliters, kiloliters,liters, bushels, and cubic meters.

A box in the shape of a rectangular prism is used in a movie scene. The base of the box measures 6 feet by 5 feet. The box has a volume of 195 cubic feet. The director hires an actor who is 6 feet 4 inches tall. Can the actor stand up straight in the box? Also I do need to show my work so please write down the work to solve this. Thanks!

Im sorta confused about this question? He has decided to remove all the old sod (grass), bring in a new 4 inch layer of topsoil, install new in-ground sprinklers, and reseed the lawn. He seems to think that he'll be able to save money by hauling loads of topsoil from the store himself in his pickup truck, rather than paying for delivery, but I don't think he's right. You're going to help us settle this. Here is (most of) the information you asked for: [LIST] [*]Is he redoing the whole yard or just the front? He's redoing the whole yard [*]How much topsoil does he need? I'm not sure, you'll have to figure that out. Remember he's putting a new 4 inch layer down over all the area currently covered by grass in the overhead picture above. [*]How big is the yard? I'm not sure, but you can probably estimate it using the overhead picture. [*]What kind of pickup truck does he drive? A 2003 Ford F-150 XL. [*]How much can the pickup carry? The truck bed is 80 inches long, 69 inches wide, and 20 inches tall. [*]How much is the delivery charge? $30 per truckload on top of the soil cost. Each truckload can deliver up to 18 cubic yards. [*]How much does the topsoil cost? $18 per cubic yard (sold in 1/4 yard increments). [*]How far is the soil store? It is 9 miles away. It takes about 20 minutes to drive there. [*]What gas mileage does the pickup truck get? It averages 17 miles to the gallon. [*]What is the current gas cost? Assume it's $3.79/gallon. [/LIST] Using this information, figure out whether my neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision: would you recommend that my neighbor pick up the soil himself, or pay for delivery? Detail all your assumptions and calculations, and clearly write out your final conclusions.

The truck bed is 80 inches long, 69 inches wide, and 20 inches tall. So the total volume the truck can carry is: 80 x 69 x 20 = 110,400 cubic inches can be carried each time. Find out how many gallons in a full tank for the 2003 Ford F150. Then you calculate the amount of miles you can drive on a full trip.

the book is 11 inches long, 11 inches wide, and 2 inches thick. find the volume of the book The book is a rectangular solid, so our Volume (V) is: V = l * w * h V = 11 * 11 * 2 V = [B]242 cubic inches[/B]

Three tennis balls each have a radius of 2 inches. They are put into a 12 inch high cylinder with a 4 inch diameter. What is the volume of the space remaining in the cylinder? Volume of each ball is 4/3 ?r^3 V = 4/3 * 3.1415 * 2^3 V = 1.33 * 3.1415 * 8 = 33.41 cubic inches The volume of 3 balls is: V = 3(33.41) V = 100.23 Volume of the cylinder is area of circle times height: V = 3.14 * 2 * 2 * 1 = 150.72 Volume of remaining space is: V = Volume of cylinder - Volume of 3 balls V = 150.72 - 100.23 V = [B]50.49[/B]

Use the information below to determine the weight of 500 gallons of water. a) There are 1.057 quarts in a liter and 4 quarts in a gallon b) A cubic decimeter of water is a liter of water c) A cubic decimeter of water weighs one kilogram d) There are 2.2 pounds in a kilogram [LIST] [*]500 gallons = 2000 quarts [*]2000 quarts / 1.057 quarts in a liter = 1892.15 liters [*]1892.15 liters weight 1892.15 kilograms [*]1892.15 kilograms x 2.2 pounds = [B]4163 pounds[/B] [/LIST]

What is the weight of a cubic meter of water? Express your answer in kilograms? 1 kilogram per cubic decimeter and 1000 cubic decimeters in a cubic meter = [B]1000 kilograms[/B]