Question

The width of a rectangular block of wood is x centimetres. if its height is two-thirds its width and its length is 4 times its height, then its volume, in cubic centimetres is

Answer 1

Answer:

please see the attachment

Answer 2

The volume of block of wood is 16x³/9 cm³.

Given:

• The width of a rectangular block of wood is 'x' centimetres.
• if its height is two-thirds its width and its length is 4 times its height.

To find:

• The volume of block of wood in cubic centimetres.

Solution:

Concept/formula to be used:

Volume of cuboid=$\bf lbh$unit³

Here,

l: length

b: breadth/width

h: height

Step 1:

Write the given values.

ATQ,

Breadth/width of block of wood: 'x' cm

Height : $\frac{2x}{3} \: cm$

Length$= 4 \times \frac{2x}{3}$

Length$= \frac{8x}{3} \:cm$

Step 2:

Find the volume of block of wood.

Put the values of length, breadth and height in the formula of volume.

$Volume = \frac{8x}{3} \times x \times \frac{2x}{3}$

$\bf Volume = \frac{16 {x}^{3} }{9} \: {cm}^{3}$

Thus,

The volume of block of wood is 16x³/9 cm³.

Learn more:

1) Find the height of cuboid whose volume is 490 cm3 and base area is 35 cm2

https://brainly.in/question/2149371

2)A co-operative society has cuboidal water tank having dimensions 4mx3mx2 m. How many litres of water can it hold ?

https://brainly.in/question/11768604

#SPJ2