Volume of a COMPOSITE / COMPOUND 3D FIGURE
FORMULA SHEET
CALCULATOR
The formula for volume of a PRISM is V=(area of the base) x (height of prism).
This prism is a composite figure with 2 prisms combined.
Find the volume of each prism separately then add the volumes together.
(3 points)
Part 1: Find the volume of the RECTANGULAR PRISM:
YDS3
Part 2: Find the volume of the TRIANGULAR PRISM:
YDS3
Part 3: Find the SUM of the volume of the 2 prisms:
YDS3
its actually
15300
6885
22185
To find the volume of a rectangular prism, you will use the formula V = lwh, where l is the length, w is the width, and h is the height of the prism.
Let's say the dimensions of the rectangular prism are:
Length (l) = 5 yards
Width (w) = 3 yards
Height (h) = 4 yards
V = 5 x 3 x 4 = 60 cubic yards
Therefore, the volume of the rectangular prism is 60 cubic yards.
Next, to find the volume of a triangular prism, you will use the formula V = (1/2)bh * h, where b is the base of the triangle, and h is the height of the prism.
Let's say the base of the triangle is 6 yards and the height of the prism is 5 yards.
V = (1/2 * 6 * 5) * 5 = 75 cubic yards
Therefore, the volume of the triangular prism is 75 cubic yards.
Finally, to find the sum of the volumes of the two prisms:
60 cubic yards (rectangular prism) + 75 cubic yards (triangular prism) = 135 cubic yards
Therefore, the sum of the volume of the two prisms is 135 cubic yards.
ok show me part one two and 3
Sure, here are the calculations for each part:
Part 1: Find the volume of the RECTANGULAR PRISM:
Given dimensions:
Length, l = 5 yards
Width, w = 3 yards
Height, h = 4 yards
Volume, V = lwh
V = 5 * 3 * 4
V = 60 cubic yards
Therefore, the volume of the rectangular prism is 60 cubic yards.
Part 2: Find the volume of the TRIANGULAR PRISM:
Given dimensions:
Base, b = 6 yards
Height, h = 5 yards
Volume, V = (1/2)bh * h
V = (1/2) * 6 * 5 * 5
V = 75 cubic yards
Therefore, the volume of the triangular prism is 75 cubic yards.
Part 3: Find the SUM of the volume of the 2 prisms:
Volume of rectangular prism = 60 cubic yards
Volume of triangular prism = 75 cubic yards
Total volume = 60 + 75
Total volume = 135 cubic yards
Therefore, the sum of the volume of the two prisms is 135 cubic yards.