An artist carves an ice sculpture in shape of a right triangular pyramid (base triangle: base 6 cm, height 4 cm, pyramid height 9 cm). What is the volume of ice used?
Show answer & explanation
Correct answer: C
Explanation
Given:
Base of the base triangle = 6 cm
Height of the base triangle = 4 cm
Height of the pyramid = 9 cm
By the formula:
Area of the triangle = 1/2 × base × height
Volume of the pyramid = 1/3 × base area × height
Area of the base triangle = 1/2 × 6 × 4 = 12 cm²
Volume of the pyramid = 1/3 × 12 × 9 = 36 cm³