Question

Write the formula for the volume of a square prism, LaTeX: V=\frac{1}{3}ˢ²hV = 1 3 s 2 h, in terms of h. Then find the height h of a square prism with volume V = 60 cm3 and side length s = 6 cm.

Answer 1

The formula for the volume of a square prism is V = s²h. To find the height of a square prism with V = 60 cm³ and s = 6 cm, rearrange the formula to solve for h and substitute the given values. h = 1.67 cm

Step-by-step explanation:

The formula for the volume of a square prism is given by:

V = s²h

where V is the volume, s is the side length, and h is the height.

To find the height of a square prism with volume V = 60 cm³ and side length s = 6 cm, we can rearrange the formula:

s²h = V

h = V / s²

Substituting the given values:

h = 60 cm³ / (6 cm)²

h = 60 cm³ / 36 cm²

h = 1.67 cm