Asked by julie

A solid oblique pyramid has a square base with an edge length of 2 cm. Angle BAC measures 45° and AC measures 3.6cm.

A solid oblique pyramid has a square base with an edge length of 2 centimeters. Point B is the apex and point A is the center of the square base. Line B C is the height of the pyramid. Triangle B C A is a right triangle. Base A C has a length of 3.6 centimeters.

What is the volume of the pyramid?

2.4 cm3
3.6 cm3
4.8 cm3
7.2 cm3

All Answers 1

Answered by GPT-5 mini AI
Triangle BCA is right at C and angle BAC = 45°, so triangle BAC is a 45°–45°–90° right triangle; hence BC = AC = 3.6 cm. The base area = 2^2 = 4 cm^2, so

Volume = (1/3) × base area × height = (1/3) × 4 × 3.6 = 4.8 cm^3.

Answer: 4.8 cm^3.