Question

Find the volume of the prism.

6 cm
8 cm
5 cm
9 cm
The volume is cubic centimeters.

Answer 1

• Answer:8*6*9=432

Explanation:

As we observe on the prism we have the

. slant height of 9cm

. height of base of 6cm

. long side of the base of 8cm

. short side of the base which is 5 cm

So as we know the volume of the prism is A=(BA(base area)* slant Height) /2

So the area of the trapezium is A=((B(long base side)+b (short base side ))*h)/2

it's A=((8+5)*6)/2=39 square centimeters

So the volume is=(39*9)/2=175.5 cubic centimeters

Answer 2

351 ccm

Explanation:

Let's split the prism in a rectangular prism and a triangular prism:

- the volume of the rectangular prism is 6 * 5 * 9 = 270 ccm

- the volume of the triangular prism is base of the surface x height:
(3 * 6)/2 * 9 = 81 ccm

Total volume is 270 + 81 = 351 ccm