The formula is V = LWH or V = L × W × H

Sol:

1. V = 60 cm³

• V = L × W × H
• V = 5 × 3 × 4
• V = 60

2. V = 154 cm³

• V = L × W × H
• V = 2 × 11 × 7
• V = 154

3. V = 120 cm³

• V = L × W × H
• V = 10 × 4 × 3
• V = 120

4. V = 80 cm³

• V = L × W × H
• V = 8 × 5 × 2
• V = 80

5. V = 252 cm³

• V = L × W × H
• V = 9 × 4 × 7
• V = 252

Ans:

1. V = 60 cm³
2. V = 154 cm³
3. V = 120 cm³
4. V = 80 cm³
5. V = 252 cm³

Verified answer

Volume of prism[tex]\huge\blue{\overline{\qquad \qquad \qquad \qquad \qquad \qquad \qquad \: \: }}[/tex]

Directions :

Find the volume of each prism. Use the formula intended for it.

• [tex]\huge \boxed { \tt 1.) \underline {60 cm}^3 }[/tex]
• [tex]\huge \boxed { \tt 2.) \underline {154cm}^3 }[/tex]
• [tex]\huge \boxed { \tt 3.) \underline {120cm}^3 }[/tex]
• [tex]\huge \boxed { \tt 4.) \underline {80cm}^3 }[/tex]
• [tex]\huge \boxed { \tt 5.) \underline {252cm}^3 }[/tex]
  
  

Solution :

To find the volume of each prism, you can use the formula [tex]\tt \underline {V = l \times w \times h}[/tex] where the length, width, and height will be multiplied together to get the volume as the product.


So let's try to use this formula to solve for the volume of each prism.

1) Given: l = 5cm, h = 3 cm, w = 4cm

• [tex]\tt V = l \times w \times h[/tex]
• [tex]\tt V = 5 cm \times 3 cm \times 4 cm[/tex]
• [tex]\tt V = 15 cm \times 4 cm[/tex]
• [tex]\tt V = \underline {60cm^3}[/tex]

Therefore the volume of this prism is [tex]\underline {\bold 6 \bold 0 \bold c \bold m}^\bold3[/tex]



2) Given:  l = 11cm, w = 2cm, h = 7cm

• [tex]\tt V = l \times w \times h[/tex]
• [tex]\tt V = 11 cm \times 2 cm \times 7 cm[/tex]
• [tex]\tt V = 22cm \times 7 cm[/tex]
• [tex]\tt V = \underline {154 cm^3}[/tex]

Therefore the volume of this prism is [tex]\underline {\bold 1 \bold 5 \bold 4 \bold c \bold m}^\bold3[/tex]



3) Given: l = 10cm, w = 3cm, h = 4cm

• [tex]\tt V = l \times w \times h[/tex]
• [tex]\tt V = 10 cm \times 3 cm \times 4 cm[/tex]
• [tex]\tt V = 30 cm \times 4 cm[/tex]
• [tex]\tt V = \underline { 120 cm^3}[/tex]

Therefore the volume of this prism is [tex]\underline {\bold 1 \bold 2 \bold 0 \bold c \bold m}^\bold3[/tex]



4) Given: l = 8cm, w = 2 cm, h = 5cm

• [tex]\tt V = l \times w \times h[/tex]
• [tex]\tt V = 8 cm \times 2 cm \times 5 cm[/tex]
• [tex]\tt V = 16 cm \times 5 cm[/tex]
• [tex]\tt V = \underline {80 cm ^3}[/tex]

Therefore the volume of this prism is [tex]\underline {\bold 8 \bold 0 \bold c \bold m}^\bold3[/tex]



5) Given: l = 9cm, w = 4cm, h = 7cm

• [tex]\tt V = l \times w \times h[/tex]
• [tex]\tt V = 9 cm \times 4 cm \times 7 cm[/tex]
• [tex]\tt V = 36 cm \times 7 cm[/tex]
• [tex]\tt V = \underline {252 cm}^3[/tex]

Therefore the volume of this prism is [tex]\underline {\bold 2 \bold 5 \bold 2 \bold c \bold m}^\bold3[/tex]
[tex]\huge\blue{\overline{\qquad \qquad \qquad \qquad \qquad \qquad \qquad \: \: }}[/tex]


Yxxqii❤