What is the area and volume of the given shape, if the length of one side of the base is 6, the height is 8, and the slant height is 10? (Not all shapes will require all three numbers.)
The shape is a right prism with:
1. an equilateral triangle as the base

A. Lateral area: 90; Volume: 288
B. Lateral area: 192; Volume: 64
C. Lateral area: 120; Volume: 240
D. Lateral area: 144; Volume: 72 sqrt(3)
E. Lateral area: 176; Volume: 18*sqrt(15)
F. Lateral area: 100; Volume: 288

Question

What is the area and volume of the given shape, if the length of one side of the base is 6, the height is 8, and the slant height is 10?  (Not all shapes will require all three numbers.)
The shape is a right prism with:
1. an equilateral triangle as the base

A. Lateral area: 90; Volume: 288 
B. Lateral area: 192; Volume: 64 
C. Lateral area: 120; Volume: 240 
D. Lateral area: 144; Volume: 72 sqrt(3) 
E. Lateral area: 176; Volume: 18*sqrt(15)
F. Lateral area: 100; Volume: 288

anonymous · Answer

Lateral Area = Perimeter of the base X the height
so $$LA= (18)*(8)$$
LA= 144