p21sp1javid p21sp1javid
  • 24-03-2022
  • Mathematics
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The prism shown has a volume of 35cm³
Work out h, the height of the triangular cross section.

The prism shown has a volume of 35cm Work out h the height of the triangular cross section class=

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jimrgrant1 jimrgrant1
  • 24-03-2022

Answer:

h = 2.5 cm

Step-by-step explanation:

the volume (V) of a prism is calculated as

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

A = [tex]\frac{1}{2}[/tex] bh = [tex]\frac{1}{2}[/tex] × 4 × h = 2h and l = 7

given V = 35 , then

2h × 7 = 35

14h = 35 ( divide both sides by 14 )

h = 2.5 cm

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