volume

Volume of a cube is s^3 where s is the length of one side. V = 64 s^3 = 64 Take the cube root of each side: s = 4 since 4^3 = 64 Surface Area of a cube is 6s^2. With s = 4, we have: SA = 6(4)^2 SA =6(16) SA = 96

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 πr^3 V = 4/3 * 3.1415 * 2^3 V = 1.33 * 3.1415 * 8 = 33.41 cubic inches The volume of 3...

A rectangular prism has a width of x feet, a length of y feet, and a height of h 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 = 1728xyh

What is the formula for the volume of a cylinder? The Volume (V) of a cylinder with radius (r) and height (h) is: V = πr^2h

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

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 = 80 cubic feet

If V is the volume of a cube whose side is s, express s in terms of V: We know the Volume (V) of a cube with side length s is: V = s^3 Take the cube root of each side: V^1/3 = (s^3)^1/3 s = V^1/3

if hose a can fill up a swimming pool in 6 hours, hose b in 3 hours, hose c in 2 hours, how long will it take to fill up the pool using all 3 hoses? Let V be the pool's Volume. Each hour, the hoses fill up this much of the pool: Hose A, V/6 of the pool Hose B, V/3 of the pool Hose C, V/2 of...

A cube has an edge that is x cm long. What is the capacity of C(x)? Capacity is another word for volume, or the amount an object will hold. Given a side x, the capacity (volume) of a cube is: C(x) = x^3

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 = 72 cubic feet

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 = 216 cubic inches

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 = 24 cubic inches

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 cube side = 28 into our search engine to get: V = 21952 cubic inches

Assume that a balloon is spherical shaped. If you have a balloon with the radius of 3, what’s the volume? Using our sphere calculator, we get Volume (V): V = 36pi or 113.0973

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 = 280 cubic inches

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 = 242 cubic inches

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: V = 7.875pi or 24.74 cubic inches

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 = 1,200 cubic meters

Each brick is 14 inches long, 8 inches wide, and 5 inches tall.if they used 16,800 in3 of concrete, how many bricks did they make? Volume of a brick (V) is: V = l * w * h Plugging in our brick measurements, we get: V = 14 * 8 * 5 V = 560 Calculate number of bricks: Number of Bricks = Total...

A circular balloon is inflated with air flowing at a rate of 10cm3/s. How fast is the radius of the ballon increasing when the radius is 2cm? The volume (V) of the balloon with radius (r) is: V = 4/3πr^3 Differentiating with respect to t, we get: dV/dt = 4/3π * 3r^2 * dr/dt dV/dt = 4πr^2 *...