Question

The side of a cube is 15cm. what is the base are of a cuboid whose volume is 175 cm*3 less than that of the cube and whose height is 32cm?

Answer 1

Answer:

Step-by-step explanation:

Area of cube =side²

=15²=225cm²

As we know

Volume of cube =side³

=15³=3,375cm³

Now 175×3=525cm

Subtract it

You got =2850

Hieght =32cm

Now finding base = volume/hieght

Base = 89cm

Answer 2

Answer:

The base are of a cuboid is 100 cm²

Step-by-step explanation:

Given,

• Side of cube = 15 cm

• Volume of cuboid = 175 cm³ is less than that of cube

• Height of cuboid = 32 cm

Now,

Area of cube = side²

                      =15²

                      =225 cm²

As we know

,

Volume of cube =side³

                           =15³

                           =3375 cm³

Now,

volume of cuboid = 3375 - 175

                              = 3200 cm³

So,

the base of the cuboid = $\dfrac{volume}{height</p><p>}$

                                      = $\dfrac{3200}{32</p><p>}$

                                      = 100 cm²