a right rectangular prism has a length of 5 cm a width of 4 cm and a height of 3 cm the dimensions of the prism doubled what is the volume of the prism are doubled

Respuesta :

When the dimensions of the prism are doubled then the volume becomes eight times more of its original volume.

Explanation:

Given -

Length, L1 = 5cm

width, W1 = 4cm

height, H1 = 3cm

when the dimensions are doubled, the value becomes

Length, L2 = 2 X 5cm = 10cm

width, W2 = 2 X 4cm = 8cm

height, H2 = 2 X 3cm = 6cm

The volume of the initial prism = length X width X height

Volume 1 = 5cm X 4cm X 3cm

Volume 1 = 60cm³

The volume of the final prism = length X width X height

Volume 2 = 10cm X 8cm X 6cm

Volume 2 = 480cm³

Therefore, when the dimensions of the prism are doubled then the volume becomes eight times more of its original volume.