Question

Help, please explain in detail how you answer number 2

Answer 1

Explanation:

height=√(4^2-2^2)=√(16-4)=√12=2√3

area of base=1/2×base×height=1/2×4×2√3=4√3

volume of prism=base area×height=4√3×8=32√3 cm³

Answer 2

Correct answer: V = 55.36 cm³

Explanation:

Given:

a = 4 cm edge of the bases

H = 8 cm the height of the prism

Area of the base is equilateral triangle which area is:

B = a² · √3 / 4 = 4² · 1.73 / 4 = 16 · 1.73 / 4 = 6.92 cm²

Volume of the prism is:

V = B · H = 6.92 · 8 = 55.36 cm³

V = 55.36 cm³

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