a. Volume of the composite solid = 96 cm³
b. Surface area of the composite solid = 148 cm²
How to Find the Volume and Surface Area of a Composite Solid?
The composite solid can be decomposed into two rectangular prisms.
The volume of a rectangular prism = (length)(width)(height)
The surface area of a rectangular prism = 2(wl + hl + hw), where h is the height, l is the length, and w is the width of the rectangular prism.
a. Volume of the composite solid = volume of A + volume of B = (4)(3)(4) + (8)(3)(2)
Volume of the solid = 48 + 48
Volume of the composite solid = 96 cm³
b. Surface area of the composite solid = surface area of A + surface area of B - 2(l)(w) = 2·(3·4+4·4+4·3) + 2·(3·8+2·8+2·3) - 2(4)(3)
Surface area of the composite solid = 92 + 80 - 24
Surface area of the composite solid = 148 cm²
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