Question

the oblique pyramid has a square base. what is the volume of the pyramid? 2.5 cm³ 5 cm³ 6 cm³ 7.5 cm³ 3.75 cm 2 cm

Explanation:

Step1: Find the area of the square base

The base is a square with side length \( 2 \, \text{cm} \). The area of a square is \( \text{side}^2 \), so the area \( B = 2^2 = 4 \, \text{cm}^2 \).

Step2: Use the volume formula for a pyramid

The volume \( V \) of a pyramid is given by \( V = \frac{1}{3}Bh \), where \( B \) is the area of the base and \( h \) is the height. Here, \( h = 3.75 \, \text{cm} \) and \( B = 4 \, \text{cm}^2 \).

Substitute the values into the formula: \( V = \frac{1}{3} \times 4 \times 3.75 \).

First, calculate \( 4 \times 3.75 = 15 \). Then, \( \frac{1}{3} \times 15 = 5 \).

Answer:

\( 5 \, \text{cm}^3 \) (corresponding to the option "5 cm³")