Question

pls help i'm giving 100 points away on this. drag the tiles to the correct boxes to complete the pairs.find the volume of the cubes or rectangular prisms in cubic centimeter's answers: 6/125 cm^3, 36/125 cm^3, 8/125 cm^3, 1/125 cm^3.the pairing questions are :cube with a side length of 2/5 cm,,,, rectangular prism with a length width and height of 3/5 cm 4/5 cm and 3/5 cm respectively.,,, rectangular prism with a lenght width and height of 1/5 cm, 2/5 cm, and 3,5 cm respectively and cube with a side length of 1/5cm

Answer 1

★ 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

`\huge⇒ {a}^(3)`

• a ⤏edge legth of the given cube = 2/5

`\huge ⇒ ({ (2)/(5) })^(3) \small{cm}^(3)`

`\huge⇒ (8)/(125) \small {cm}^(3) \\`

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

`\huge⇒lwh`

• l⤏ length = 3/5cm
• w⤏width = 4/5 cm
• h⤏ height = 3/5 cm

`\huge⇒( (3)/(5) * (4)/(5) * (3)/(5)) \small {cm}^(3)`

`\huge⇒ (36)/(125) \small {cm}^(3)`

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

`\huge⇒lwh`

• l⤏length = 1/5 cm
• w⤏width = 2/5 cm
• h⤏height = 3/5 cm

`\huge⇒( (1)/(5) * (2)/(5) * (3)/(5)) \small {cm}^(3)`

`\huge⇒ (6)/(125)\small {cm}^(3)`

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

`\huge⇒ {a}^(3)`

• a ⤏edge legth of the given cube = 1/5cm

`\huge⇒ {( (1)/(5) )}^(3) \small {cm}^(3)`

`\huge⇒ (1)/(125) \small {cm}^(3)`

hence,the volume of the given cube is 1/125 cm³