Question

find the volume of rectangular solids whose dimensions are Length 15 Breadth 12 thickness 75​

Answer 1

Given :-

Length = 15 units

Breadth = 12 units

Thickness/Height = 75 units

To find :-

• Volume of cuboid

Volume :-

Volume = length × breadth × height (or) Area of base × height

Substituting the values,

Volume = 15 × 12 × 75

Volume = 13,500 units³

HOW TO FIND T.S.A AND L.S.A :-

Total surface area :-

Total surface area = 2[(length×breadth)+(breadth×height)+(length×height)]

Substituting the values,

T.S.A = 2[(15×12)+(12×75)+(75×15)]

T.S.A = 2(180+900+1125)

T.S.A = 2(2205)

Total surface area = 4410 units²

Lateral surface area :-

Lateral surface area = 2hl + 2bh =≥ 2h(l+b) (or) Perimeter of base × height

Substituting the values,

L.S.A = 2 × 75 (12+15)

L.S.A = 150(27)

Lateral surface area = 4050 units²

Some more formulas :-

Volume of cube = a³

Total surface area of cube = 6a²

Lateral surface area of cube = 4a²

Volume of cylinder = πr²h

Total surface area of cylinder = 2πrh + 2πr² =≥ 2πr(h+r)

Lateral surface area of cylinder = 2πrh