Aright rectangular prism has a length of 6 cm, a width of 8 cm, and a height of 4 cm. the dimensions of the prism are halved. what is the volume of the reduced prism? enter your answer in the box. cm³

The  volume of the reduced prism is 24 cm³

Step-by-step explanation:

  A right rectangular prism has a length of 6 cm, a width of 8 cm, and a height of 4 cm. The dimensions of the prism are halved.

We have to find the  volume of the reduced prism.

Since, all the dimensions are reduced halved.

So the reduced dimensions are

length = 3 cm

Width = 4 cm

and height = 2 cm

Volume of rectangular prism = length × width  × height

Substitute, we have,

Volume of rectangular prism = 3 × 4 × 2 = 24 cm³

Thus, the  volume of the reduced prism is 24 cm³

21

step-by-step explanation:

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

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