Applying the volume of a rectangular prism, the following are determined:
A & G has a solution of 120.
B & F: 714
C & E: 56
D & H: 9.5
<h3>What is the Volume of a Triangular Prism?</h3>
Volume = base area × height of prism = 1/2(bh) × H
A. Volume = 1/2(bh) × H = 1/2(6)(8) × 5 = 120 units³
B. Volume = 1/2(bh) × H = 1/2(6)(14) × 17 = 714 units³
C. Volume = 1/2(bh) × H = 1/2(12)(8) × x = 2,688 units³
48x = 2,688
x = 2,688/48
x = 56 units (height of the prism)
D. Volume = base area × height of prism
Plug in the given values
27.36 = base area × 2.88
27.36/2.88 = area of triangular base
area of triangular base = 9.5 units².
E. Volume = 1/2(bh) × H = 1/2(8)(15) × x = 3,360 units³
60x = 3,360
x = 3,360/60
x = 56 units (height of the prism)
F. Volume = 1/2(bh) × H = 1/2(17)(4) × 21 = 714 units³
G. Volume = 1/2(bh) × H = 1/2(3)(5) × 16 = 120 units³
H. Volume = 1/2(bh) × H = 1/2(1.9)(2) × 5 = 9.5 units³
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