Question

The volume of a cube of ice for an ice sculpture is 64,000 cubic inches.

a. What is the edge length of the cube of ice?

The edge length of the cube of ice is______inches.

b. What is the surface area of the cube of ice?

The surface area of the cube of ice is square____ inches.

Answer 1

The edge length of the cube ice is 40 inches.

The surface area of the cube ice is 9600 inches²

Volume of the cube Ice

The volume of a cube can be represented as follows:

• volume = L³

where

L = length of cube

Therefore,

volume = 64,000

64000 = L³

L= ∛64,000

L = 40 inches

Surface area of the cube Ice

The surface are of a cube can be describe as follows:

• Surface area = 6L²

Surface area = 6 × (40)²

Surface area = 6 × 1600

Surface area = 9600 inches²

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