Question

There are three cubes. Their volumes are in the ratio of 2 : 3: 4. The sum of the volumes of the cubes is 19773 cm³. Find the volume of each cube​

Answer 1

Answer:

MATHS

Two cubes of volume 125cm

3

each is joined end to end, in a row. Find the surface area and volume of the resulting cuboid.

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ANSWER

Let the side of a cube =a

Volume of the cube = a

3

a

3

=125

a

3

=5

3

a=5 cm

If two cubes are joined end to end it becomes cuboid.

Dimensions of cuboid are

Lengh =l=10 cm

Breadth =b=5 cm

height =h=5 cm

Lateral surface Area = 2(l+b)h=2(10+5)5

=2×15×5=15059cm

Total surface Area = 2(lb+bh+lh)

=2(10×5+5×5+5×10)

=2(50+25+50)

=2(125)

=250sq.cm

Volume = lbh=10×5×5=250 cubic cm