Solve the problem.
-Emma's rubik cube has $24 \mathrm {~cm} ^ { 2 }$ of area. Each side of Sophie's cube is twice as wide as Emma's. Find the area of Sophie's cube.
A) $96 \mathrm {~cm} ^ { 2 }$
B) $16 \mathrm {~cm} ^ { 2 }$
C) $48 \mathrm {~cm} ^ { 2 }$
D) $8 \mathrm {~cm} ^ { 2 }$

Question

Quizplus · Accepted Answer

The area of a face of Emma's cube is $24 \mathrm {~cm} ^ { 2 }$, so the side length is $\sqrt{24}$ cm. Sophie's cube has sides twice as wide, so its side length is $2\sqrt{24}$ cm. The area of a face of Sophie's cube is $(2\sqrt{24})^2 = 4 \times 24 = 96 \mathrm {~cm} ^ { 2 }$.

Solve the Problem 24 cm224 \mathrm {~cm} ^ { 2 }24 cm2 Of Area Each Side of Sophie's Cube Is Twice as Wide

Solve the Problem $24 \mathrm {~cm} ^ { 2 }$ Of Area Each Side of Sophie's Cube Is Twice as Wide