Question

A rectangular solid has a surface area of 52 cm² and a volume of 24 cm³. What is the surface-area-to-volume ratio?

a) 2.17 cm⁻¹
b) 0.46 cm⁻¹
c) 1.75 cm⁻¹
d) 0.58 cm⁻¹

Answer 1

The surface-area-to-volume ratio of a rectangular solid with a surface area of 52 cm² and a volume of 24 cm³ is calculated by dividing the surface area by the volume, resulting in a ratio of 2.17 cm⁻¹.

Step-by-step explanation:

To find the surface-area-to-volume ratio of a rectangular solid, we need to divide the surface area by the volume. Given a surface area (SA) of 52 cm² and a volume (V) of 24 cm³, we perform the following calculation:

Surface-Area-to-Volume Ratio = SA / V = 52 cm² / 24 cm³

Surface-Area-to-Volume Ratio = 2.17 cm⁻¹

Therefore, the correct answer is a) 2.17 cm⁻¹, which represents the ratio of the solid's surface area to its volume.