help me plz with these questions. the picture is question 1 and the written on is question 2. The base area of a prism is 150 square feet. Its height is 8 feet. What is the volume of the prism? A. 1200 ft3 B. 600 ft3 C. 400 ft3 D. 158 ft3
Answer (2)
1. V = 3 1 π r 2 H r = 12 c m ; H = 8 c m s u b s t i t u t e t o V : V = 3 1 π ⋅ 1 2 2 ⋅ 8 = 3 1 π ⋅ 144 ⋅ 8 = π ⋅ 48 ⋅ 8 = 384 π ( c m 3 ) 384 π c m 3 ≈ 384 ⋅ 3.14 c m 3 = 1205.76 c m 3 ≈ 1206 c m 3 A n s w er : A
2. A b = 150 f t 2 H = 8 f t V = A b ⋅ H V = 150 ⋅ 8 = 1200 ( f t 3 ) A n s w er : A
The volume of the prism is calculated as 1200 cubic feet using the formula for the volume of a prism, which is the area of the base multiplied by the height. The correct answer is option A: 1200 ft³.
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