volume of cuboid formula

VOLUME AND SURFACE AREA:

The volume of a cuboid is found using the formula:

Volume = Height × Width × Length

Which is usually shortened to:

V = h × w × l

Or more simply:

V = hwl

(To remember, think "howl")

SURFACE AREA:

And the surface area is found using the formula:

A = 2wl + 2lh + 2hw

SOLVED EXAMPLES

question A field is 70 m long and 40 m broad. In one corner of the field, a pit which is 10 m long, 8 m broad and 5 m deep, has been dug out. The earth taken out of it is evenly spread over the remaining part of the field. Find the rise in the level of the field.

Solution: Area of the field = (70 × 40) m2 = 2800 m2

Area of the pit = (10 × 8) m2 = 80 m2

Area over which the earth is spread over

Volume of the cube = a3 cubic units

= (2800 – 80) m2 = 2720 m2

Volume of the earth dug out = (10 × 8 × 5) m3 400 m3

Rise in level of the field =

question Find the volume and surface area of this cuboid.

Solution: V = 5×4×7 = 140.

A = 2×5×4 + 2×4×7 + 2×7×5

= 40+56+70 = 166

CBSE NCERT Solutions for Class 8 Maths

Notes,worksheet and solved question for Maths class 8

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