A cube-shaped block has an edge length of 5 centimeters. What is the total surface area of… — Armed Services Vocational Aptitude Battery (ASVAB)

A cube-shaped block has an edge length of $5$ centimeters. What is the total surface area of the block in square centimeters?

The total surface area of the cube is 150 square centimeters.

The total surface area of a cube is calculated using the formula

SA = 6s^2

, where

s

is the edge length. Substituting

s = 5

gives

6(5)^2

. By following the order of operations, square the

5

first to get

25

, and then multiply by

6

to find the total surface area of

150

square centimeters.

Identify the formula for the total surface area of a cube.

SA = 6s^2

A cube has 6 identical square faces, and the area of each face is the edge length squared (

s^2

Substitute the given edge length (

s = 5

) into the formula.

SA = 6(5)^2

This sets up the equation with the specific dimensions of the block.

Evaluate the exponent first, following the order of operations.

5^2 = 25

Exponents must be calculated before multiplication.

Multiply the area of one face by the number of faces.

6 \times 25 = 150

This provides the combined area of all 6 faces, which is the total surface area.

Volume and Surface Area of 3D Figures

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