Deck 26: Volume

Question 1

A piece of steel 1.5 feet long and 1.5 feet wide weighs 490 pounds. Steel weighs 735 pounds per cubic foot. What is the height of this piece of steel to the nearest 1/3 foot?

Answer 1

2/3 foot

Question 2

Determine the number of cubic yards of concrete in a pyramid with a square base measuring 5.5 yards on each side and an altitude (height) of 36 feet. Express answer to the nearest hundredth cubic yards.

Answer 2

121 cubic yards

Question 3

Find, in cubic inches, the volume of a cylinder that is 9 inches long and has a diameter of 3.75 inches. Express the answer to the nearest thousandth.

Answer 3

99.402 cubic inches

Question 4

A piece of wood measures 16 inches by 12 inches and has a volume of 532 cubic inches. How many inches thick, to the nearest hundredth is the wood?

Question 5

A right circular cone is similar to a pyramid except that its outer lateral surface is rounded.

Question 6

What is the volume, in cubic inches, of a 3.5-foot square prism?

Question 7

How many cubic feet are in 13.5 cubic yards?

Question 8

The volume of a cone is equal to ? r²h where r is the radius and h is the height of the cone.

Question 9

Find, to the nearest cubic foot, the volume of a room 18 ft. 6 in. wide by 20 ft. 3 in. long by 9 ft. 3 in. high.

Question 10

A specific type of steel weighs 0.283 pounds per cubic inch. Find the weight of a rectangular steel bar that has a height and width of 4.5 inches sides and is 8.25 inches long. Express the answer to the nearest hundredth of a pounds.