Question

REPOST Now h e l p




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Answer 1

Answer:

option C

Explanation:

For Naomi's rectangular prism:

⇒ Length × Width × Height

⇒ 5 × 14 × 2

⇒ 140 cm³

For Ben's triangular prism:

⇒ 1/2 × Base × Height × Length

⇒ 1/2 × 5 × 4 × 14

⇒ 140 cm³

The prism's have the same volume.

Answer 2

Answer: Choice C

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Explanation:

The volume of the rectangular block is:

V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.

Now move onto the triangular prism.

The triangular face has a base of 5 cm and height of 4, so the area of this face is

A = base*height/2 = 5*4/2 = 20/2 = 10 square cm

Multiplying this with the depth of the prism tells us the volume is

V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm

Therefore, the prisms have the same volume.