Volume of a Cube = a x a x a = a
^{3} |

1) Find the cube volume whose each side is 8 cm.

Volume = a

= 8

= 8 x 8 x 8

∴ Volume = 512 cm

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2) Cubical tank can hold 1331000 ml of water. Find the side of the tank in cm.

∴ its Volume = 1331000ml

1cm

Volume = a

∴ a

∴ a = 110 cm ( Find the cube root of 1331000)

Each side = 110 cm

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3)The edge of one cube is 4cm longer that the edge of a second cube. The volumes of the cubes differ by 316 cm

∴ the edge of larger(second) cube is a + 4.

Volume of smaller cube = a

Volume of larger cube= ( a + 4)

Difference in their volume = 316 cm

⇒ (a + 4)

⇒ ( a + 4 -a)[( a + 4)

⇒ 4 [a

⇒ 4[ 3a

⇒ 4 [3a

⇒ 3a

⇒ 3a

⇒ a

⇒ ( a + 7)( a - 3) = 0 ( find the factors of the quadratic equation)

∴ a = -7 or a = 3

But edge never be negative,

so the edge(length) of the smaller cube is 3 cm and

the edge(length) of the larger cube is ( a + 4 = 3 + 4 ) 7 cm.

• Volume Formulas

• Volume of Irregular Shape

• Volume of Cube

• Volume of Rectangular Prism(Cuboid)

• Volume of Cylinder

• Volume of Cone

• Volume of Sphere

• Volume of Hemisphere

• Volume of Prism

• Volume of Pyramid

8th grade math

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