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Find the volume of this prism.
Image attached ​

Find the volume of this prism. Image attached ​-example-1
User Kennyzx
by
3.4k points

2 Answers

4 votes

Answer:

840cm³

Explanation:

devide them into 2 shapes.

  1. the shape at the bottom

a×b×h

  • 15cm×6cm×8cm=720cm³

  1. the shape at the top

a×b×h

  • a: 5 cm
  • b: 6 cm
  • h: 12-8=4 cm
  • 5cm×6cm×4cm=120cm³

V=720cm³+120cm³=840cm³

User Nag Raj
by
3.2k points
4 votes

Answer:

840 cm^3

Explanation:

L x W x H = V

Split the prism into 2 different prisms.

6 is constant throughout the figure, so all we have to do is find the L and H of the two prisms and multiply them by 6.

15 x 8 = 120

The height of the higher prism can be determined by subtracting the bottom height from the total height.

12 - 8 = 4

5 x 4 = 20

Add the two side areas together.

20 + 120 = 140

Multiply by the width, 6.

140 x 6 = 840

User Tuzzer
by
4.7k points