Question

find the volume of a cube whose volume is three times the volume of a cuboid of dimensions 15cm×12cm×10cm

Answer 1

volume of cuboid is = l×b×h
                                 = 15×12×10
                                   = 1800
volume of cube = 3×(volume of cuboid)
                                   = 3×(l×b×h)
                                          =3×1800
                                                 =5400

Answer 2

The volume of a cube whose volume is three times the volume of a cuboid of dimensions 15cm×12cm×10cm is 5400cm³.

Given:

The dimensions of the cuboid= 15cm×12cm×10cm

To Find:

Volume of a cube whose volume is three times the volume of a cuboid of dimensions 15cm×12cm×10cm.

Solution:

Volume= Base Area× Height

Volume of the cuboid= length× Breadth× Height

Given, length of cuboid= 15cm

breadth of the cuboid= 12cm

height of the cuboid= 10cm

∴ Volume of cuboid= 15cm×12cm×10cm= 1800cm³

Now, we have to find the volume of the cube whose volume is three times the volume of the cuboid.

Volume of the cube= 3× Volume of cuboid

                                 = 3×1800cm³= 5400cm³

Hence, volume of cube is 5400cm³.

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