Question

if a = 2.3 units, b = 4 units, c = 6 units, and d = 8 units, what is the volume of the two prisms?
note: figure is not drawn to scale.
a. 127.74 cubic units
b. 159.74 cubic units
c. 105.34 cubic units
d. 256 cubic units

Explanation:

Step1: Calculate the volume of the first prism

The volume formula for a rectangular prism is \(V = l\times w\times h\). For the first prism with \(l = a = 2.3\), \(w=a = 2.3\), \(h = c=6\). So \(V_1=a\times a\times c=2.3\times2.3\times6\).

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Step2: Calculate the volume of the second prism

For the second prism with \(l = a=2.3\), \(w = d = 8\), \(h=a = 2.3\). So \(V_2=a\times d\times a=2.3\times8\times2.3\).

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Step3: Calculate the total volume

The total volume \(V = V_1+V_2\).

$$V=31.74 + 42.32=105.34$$

Answer:

C. 105.34 cubic units