VOLUME OF 3D FIGURES WHEN BASE AREA IS GIVEN WORKSHEET

Calculate, to 3 significant figures, the volume of :

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Problem 2 :

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Problem 10 :

A school provides milk to the students daily in a cylindrical glasses of diameter 7 cm. If the glass is filled with milk upto an height of 12 cm, find how many litres of milk is needed to serve 1600 students.

Problem 11 :

A cylindrical roller 2.5 m in length, 1.75 m in radius when rolled on a road was found to cover the area of 5500 m². How many revolutions did it make?

Problem 12 :

A small village, having a population of 5000, requires 75 litres of water per head per day. The village has got an overhead tank of measurement 40 m × 25 m × 15 m. For how many days will the water of this tank last?

Problem 13 :

A shopkeeper has one spherical laddoo of radius 5 cm. With the same amount of material, how many laddoos of radius 2.5 cm can be made?

Problem 14 :

A right triangle with sides 6 cm, 8 cm and 10 cm is revolved about the side 8 cm. Find the volume of the solid so formed.

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?

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Problem 2 :

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

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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.

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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.

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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?

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Problem 9 :

One cubic foot of water weighs about 62.4 pounds. How many pounds of water can the fish tank hold when it is full?

Find the volume of the solid. If necessary, round your answer to the nearest whole number.

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 :

a) What is the volume of this standard size box of salt ?

b) What is the volume of the special offer box of salt, which is 20% bigger.

The standard size box contains enough salt to fill up 10 salt pots.

c) How many salt pots may be filed up from the special offer box of salt ?

Solution

Problem 8 :

Look at the triangle. Explain why x must be the right angle.

b) What is the volume of this prism ?

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Problem 9 :

Prisms A and B have the same cross sectional area 

Copy and complete the table

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Problem 10 :

Tjs cat food is sold in this tins shaped like this. Each tin has an internal height 5 cm

The area of the lid of the tin is 35 cm². Workout the volume of cat food that the tin contains.

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Problem 11 :

Two solid spheres made of the same metal have weights 5920 g and 740 g, respectively. Determine the radius of the larger sphere, if the diameter of the smaller one is 5 cm.

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