Respuesta :
★ Question ↷
find the volume of the cubes or rectangular prisms in cubic centimeters
★Answer↷
- cube with a side length of 2/5 cm
= 8/125cm³
- rectangular prism with a length ,width and height of 3/5 cm 4/5 cm and 3/5 cm respectively
=36/125cm³
- rectangular prism with a lenght, width and height of 1/5 cm, 2/5 cm, and 3,5 cm respectively
=6/125cm³
- cube with a side length of 1/5cm
= 1/125cm³
★Solution↷
⤑ To find the volume of a cube with side length of 2/5cm,
we'll use this formula
[tex]\huge⇒ {a}^{3} [/tex]
- a ⤏edge legth of the given cube = 2/5
[tex] \huge ⇒ ({ \frac{2}{5} })^{3} \small{cm}^{3} [/tex]
[tex]\huge⇒ \frac{8}{125} \small {cm}^{3} \\ [/tex]
Hence, the volume of the given cube is 8/125 cm³
⤑To find the volume of a rectangular prism with a length ,width and height of 3/5 cm 4/5 cm and 3/5 cm respectively,
we'll use this formula
[tex]\huge⇒lwh[/tex]
- l⤏ length = 3/5cm
- w⤏width = 4/5 cm
- h⤏ height = 3/5 cm
[tex]\huge⇒( \frac{3}{5} \times \frac{4}{5} \times \frac{3}{5}) \small {cm}^{3} [/tex]
[tex]\huge⇒ \frac{36}{125} \small {cm}^{3} [/tex]
hence ,the volume of the given rectangular prism is 36/125 cm³
⤑To find the volume of a rectangular prism with a lenght, width and height of 1/5 cm, 2/5 cm, and 3/5 cm respectively,
we'll use this formula
[tex]\huge⇒lwh[/tex]
- l⤏length = 1/5 cm
- w⤏width = 2/5 cm
- h⤏height = 3/5 cm
[tex]\huge⇒( \frac{1}{5} \times \frac{2}{5} \times \frac{3}{5}) \small {cm}^{3} [/tex]
[tex]\huge⇒ \frac{6}{125}\small {cm}^{3} [/tex]
hence, the volume of the given rectangular prism is 6/125 cm³
⤑To find the volume of a cube with a side length of 1/5cm
we'll use this formula
[tex]\huge⇒ {a}^{3} [/tex]
- a ⤏edge legth of the given cube = 1/5cm
[tex]\huge⇒ {( \frac{1}{5} )}^{3} \small {cm}^{3} [/tex]
[tex]\huge⇒ \frac{1}{125} \small {cm}^{3} [/tex]
hence,the volume of the given cube is 1/125 cm³
