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1 What is the volume of the bird house shown below?
14 in.
8 in.
5 in.
5 in.
A
1,120 cubic inches
B 980 cubic inches
C 892 cubic inches
D 868 cubic inches

Respuesta :

calculista

Answer:

Option D 868 cubic inches

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The volume of the bird house is equal to the volume of the pentagonal prism

step 1

Find the volume of the pentagonal prism

[tex]V=BL[/tex]

where

B is the area of the pentagonal base

L is the length of the prism

Find the area of the base B (pentagon)

Area of triangle plus area of trapezoid

[tex]B=\frac{1}{2}(12)(6)+\frac{1}{2}(10+12)8[/tex]

[tex]B=36+88=124\ in^2[/tex]

Find the volume

[tex]V=BL[/tex]

we have

[tex]B=124\ in^2\\L=7\ in[/tex]

[tex]V=124(7)=868\ in^3[/tex]

Ver imagen calculista
abidemiokin

The volume of the birdhouse shown below is 868 cubic inches

How to find the volume of composite solid

The figure is made up of a trapezium and a triangular prism

Find the area of the triangle;

A = 0,5bh

A = 05(12)(6)

A = 36 square inches

Area of trapezium = 0.5(12+10)*8
Area of trapezium = 88 square inches

Total area = 36 + 88 = 124 square inches

The volume of the figure = Base area * height

The volume of the figure =  124 * 7 = 868 cubic inches

Hence the volume of the birdhouse shown below is 868 cubic inches

Learn more on volume of object here: https://brainly.com/question/24372707

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