A sculptor wants to cast wax models in the shape of right triangular prisms. Each prism has a triangular base with sides measuring 9 cm, 10 cm, and 17 cm, and the height (length of prism) is 25 cm. If he plans to make 20 such wax models, what is the total volume of wax required?
Show answer & explanation
Correct answer: D
Explanation
Has been given :
Sides of triangle = 9 cm, 10 cm, 17 cm
Height of prism = 25 cm
model = 20
According to the formula:
Area of triangle = √[s(s − a)(s − b)(s − c)]
Volume of prism = base area × height
s = (9 + 10 + 17) / 2= 18
Area= √[18(18 − 9)(18 − 10)(18 − 17)]
= √(18 × 9 × 8 × 1)
= √1296
= 36 cm²
Volume of a prism = 36 × 25 = 900 cm³
20 Volume of prism = 900 × 20 = 18000 cm³