Question

A surface area of a cube is related to its volume V by A = 6. V(2/3). If the volume of a
cube is 35 cubic centimeters, what is its surface area to the nearest square centimeter?

Answer 1

The surface area of the cube is 64 cm².

What is volume?

Volume is the amount of space that is enclosed within a container.

To calculate the surface area of the cube, we use the relation below.

Formula:

• A = 6V${2/3}$............ Equation 1

Where:

• A = Surface area of the cube
• V = Volume of the cube.

From the question,

Given:

• V = 35 cm³

Substitute this value into equation 1

• A = 6(35)${2/3}$
• A = 6(10.6999)
• A = 64.2
• A = 64 cm²

Hence, The surface area of the cube is 64 cm².

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