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Finding the Volume of Composite Figures: Prism and Barn, Study Guides, Projects, Research of Calculus

The formulas and calculations for finding the volume of a composite figure, specifically a prism and a barn. The prism is a triangular prism with given base area and height, while the barn is a rectangular prism with two adjacent rectangular bases. Step-by-step calculations and the final volume results.

Typology: Study Guides, Projects, Research

2021/2022

Uploaded on 09/12/2022

aristel
aristel 🇺🇸

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Find the volume of the
composite figure.
Finding The Volume of a Composite Figure
Volume of
a
composite
figure
Volume
of
prism
= +
Volume of
triangular
prism
V= +
Bh Bh
V (4)(6)(12) + (½)(4)(6) · (6)
V 288 + 72
V 360 ft3
pf2

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Find the volume of the composite figure.

Finding The Volume of a Composite Figure

Volume of a composite figure Volume of prism

Volume of triangular prism

V =^

Bh Bh

V  ( 4 )( 6 )( 12 ) + (½)( 4 )( 6 ) · ( 6 )

V  288 + 72

V360 ft 3

Find the volume

of the barn.

Volume of

barn

Volume of

rectangular

prism

Volume of

triangular

prism

V = (40)(50)(15) + (40)(10)(50)

= 40,000 ft

3

The volume is 40,000 ft

3

Finding the Volume of Composite Figures