Question

# $$A, B, C$$ denote the areas of three co-terminus faces of a cuboid. If $$P$$ and $$S$$ denote the product and sum of dimensions of the cuboid respectively, which one of the following is correct?

A
PS=A2+B2+C2
B
PS=AB+BC+CA
C
P=S(A+B+C)
D
SP=(A+B+C)2

Solution

## The correct option is B $$PS= AB + BC + CA$$Let $$l, b$$ and $$h$$ be the length, breadth and height of the cuboid respectively. Given, $$P = lhb, S= l + b + h, A = lh, B= lb, C= bh$$Now, $$PS = lbh \times ( l + b + h)$$$$={l}^{2}bh + l{b}^{2}h + lb{h}^{2}$$$$= B \times A + B \times C + A \times C$$$$= AB + BC + AC$$Mathematics

Suggest Corrections

0

Similar questions
View More