Question

The volume of a triangular prism is increased by a factor of 8.
By what factor is the surface area of the figure increased?
O 2
O 4
O 16
O24

Answer 1

Answer:

4

Explanation:

large volume = original volume * scale factor³

large surface area = original surface area * scale factor³

Find scale factor:

scale factor³ = 8

scale factor = ∛8

scale factor = 2

To find the factor of increased surface area: 2² = 4

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Answer 2

Answer:

• B. 4

Step-by-step explanation:

The volume is the product of three dimensions and the area is the product of two dimensions.

If the volume is increased 8 times, it translates as each dimension increases ∛8 = 2 times.

The area is increased then:

• 2² = 4 times

Correct choice is B