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LUCKY_DIMON [66]
4 years ago
10

A rectangular prism has a surface area of 448 cm2. It’s length is 14 cm and it’s width is 6 cm. Find the height.

Mathematics
1 answer:
Fofino [41]4 years ago
4 0

<u>Given</u><u>:</u>

  • Length, l = 14 cm

  • Breadth, b = 6 cm

  • Area of rectangular prism ( cuboid ) = 448 cm²

<u>To</u><u> </u><u>find</u><u> </u><u>out</u><u>:</u>

Find the height, h ?

<u>Formula </u><u>used </u><u>:</u>

Area of rectangular prism ( cuboid ) = 2 ( lb + bh + hl )

<u>Solution</u><u>:</u>

We know that that,

Area of rectangular prism ( cuboid ) = 2 ( lb + bh + hl )

=> 448 = 2 ( 14 × 6 + 6 × h + h × 14 )

=> 448 = 2 ( 84 + 6h + 14h )

=> 448 = 2 ( 84 + 20h )

=> 448 = 168 + 40h

=> 40h = 448 - 168

=> 40h = 280

=> h = 280/40

=> h = 7 cm

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