Question

For a rectangular solid, the length is 10, the height is 3 and the lateral area is 108. Find the width, total area and volume.

Answer 1

Let w be the width of the solid, then the lateral area (excluding top and bottom) is 2(10)(3)+2(3w)=108, 6w=108-60=48, so width w=8 units.

Total surface area=lateral area+top+bottom=108+20w=108+160=268 sq units.

Volume=3×10×8=240 cubic units.