A cuboid measures 6 cm by 8 cm by 15 cm - OCR - GCSE Maths - Question 6 - 2020 - Paper 1

Since the cube has the same volume as the cuboid, we can find the side length of the cube by setting the volume of the cube equal to the volume of the cuboid:

$V = ext{side}^3$

Therefore:

$ext{side}^3 = 720 ext{ cm}^3$

To find the side length, we take the cube root:

oot{3}{720} ext{ cm} \approx 8.65 ext{ cm}$$

The surface area of a cube is given by the formula:

$ext{Surface Area} = 6 imes ext{side}^2$

Substituting the side length:

$ext{Surface Area} = 6 imes (8.65 ext{ cm})^2 \approx 6 imes 74.82 ext{ cm}^2 \approx 448.92 ext{ cm}^2$

Rounding to 3 significant figures, the surface area is approximately:

$449 ext{ cm}^2$