8jqiwifege 8jqiwifege
  • 17-06-2021
  • Mathematics
contestada

The cuboid and the triangular prism have the same volume. Find the value of x.

The cuboid and the triangular prism have the same volume Find the value of x class=

Respuesta :

jimrgrant1 jimrgrant1
  • 17-06-2021

Answer:

x = 25

Step-by-step explanation:

The volume (V) of the triangular prism is calculated as

V = Al ( A is the area of the triangular face and l is its length )

A = [tex]\frac{1}{2}[/tex] bh = 0.5 × 5 × 8 = 20 cm² , then

V = 20 × 20 = 400 cm³

The volume of the cuboid is calculated as

V = lbh = 3.2 × 5 × x = 16x

Given V = 400 cm³ , then

16x = 400 ( divide both sides by 16 )

x = 25

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