Question

The volume of the wooden block is 315cm³. If it is 9 cm long and 7 cm wide. Find the height. *

4m

5m

6m

​

Answer 1

Step-by-step explanation:

volume of cuboid =l×b×h=448cm

3

=l×b×7=448cm

3

=l×b=64cm

2

but base is square

∴l=b

∴l

2

=64cm

2

⇒l=b=8cm

surface area =2(lb+lh+bh)

=2(8×8+8×7+8×7)

=2(64+56+56)

=352cm

2

Answer 2

Given :

⬤ Volume of Wooden block is 315 cm³.

⬤ Length of Wooden block is 9 cm.

⬤ Breadth of Wooden block is 7 cm.

To Find :

⬤ Height of Wooden block .

Formula Used :

$\sf[\:{Volume\:of\:Cuboid=l\times{b}\times{h}\:]}$

Solution :

As we know that , Wooden Block is Cuboid is Shape . Hence ,

Now :

According to the Formula :

315 = l × b × h

315 = 9 × 7 × h

315 = 63 × h

315 = 63 h

315/63 = h

5 = h

Therefore , The Height of the Wooden Block is 5 cm .

Option b) is Correct .

Check :

315 = l × b × h

315 = 9 × 7 × 5

315 = 315

Hence Checked .