VOLUME OF 3D FIGURES WHEN BASE AREA IS GIVEN WORKSHEET

Calculate, to 3 significant figures, the volume of :

Problem 1 :

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Problem 2 :

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Problem 3 :

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Problem 4:

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Problem 5 :

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Problem 6 :

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Problem 7 :

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Problem 8 :

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Problem 9 :

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Problem 1:

A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a side of 15. If the volumes of the two prisms are equal, what is the height of the second prism?

Solution

Problem 2 :

A cube has a volume of 3375 cubic units. Calculate the length of one side of the cube.

Solution

Problem 3 :

The volume of a cylinder is 441π in³. The height of the cylinder is 9 in. Calculate the radius of the cylinder to the nearest tenth of a centimeter.

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Problem 4 :

The volume of a cylinder is 794.3 cm³. The height of the cylinder is 7 cm. calculate the radius of the cylinder to the nearest tenth of a centimeter.

Solution

Problem 5 :

The volume of a cube is 216 cubic yards. Find the side length.

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Problem 6 :

Julia has a rectangular prism with a length of 10 centimeters, a width of 2 centimeters, and an unknown height. He needs to build another rectangular prism with a length of 5 centimeters and the same height as the original prism. The volume of the two prisms will be the same. Find the width, in centimeters, of the new prism.

Solution

Problem 7 :

The volume of a right cylinder is 3600π cubic centimeters and the height is 16 centimeters. Find the radius.

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Problem 8 :

A right circular cylinder has a volume of 2,000 cubic inches and a height of 4 inches. What is the radius of the cylinder to the nearest tenth of an inch?

Solution