Question

Simon calculated the volume of the prism. His work is shown here. area of base = B = 1 2 bh = 1 2 (5)(13) = 32.5 m2 volume = Bh = 32.5(12) = 390 m3 A triangular prism. The triangular base has a base of 5 meters and height of 12 meters. The height is 4 meters. What errors did he make? Check all that apply.

Answer 1

RAU47 STAR IS CORRECT ON EDG ENUITY 2021

Explanation:

THE AREA OF THE BASE IS 30^2 NOT 32.5^

AND

THE VOLUM E IS 120^3 N OT 390^3

Answer 2

Options (1) and (5) are the correct options.

Explanation:

See attachment for the complete question.

Simon's work,

Area of the base = B =
`(1)/(2)bh = (1)/(2)(5)(13)`=32.5 m²

Volume = Bh = 32.5(12) = 390 m³

Let's check the error's he made.

Area of the base of the triangular prism

B =
`(1)/(2)bh=(1)/(2)(5)(12)`

B = 30 m²

Volume of the prism = (Area of the triangular base)×(Height)

V = 30 × 4

V = 120 m³

Therefore, Options (1) and (5) are the correct options.