Question

Find the volume of the prism. 5 cm 13 cm 13 cm

Answer 1

The answer is 845

5 x 13 x 13= 845

Answer 2

The volume of a rectangular prism with sides of a rectangle measuring 13 cm each and a right-angled triangle height of 5 cm is 845 cm³, making the correct answer (c).

The volume (V) of a rectangular prism is given by the formula:

`\[ V = \text{Area of the base} * \text{Height} \]`

For a rectangular base, the area is the product of the length and width. In this case, the sides of the rectangle are given as 13 cm each.

`\[ \text{Area of the base} = 13 \, \text{cm} * 13 \, \text{cm} = 169 \, \text{cm}^2 \]`

The height of the prism is given by the right-angled triangle's height, which is 5 cm.

`\[ \text{Height} = 5 \, \text{cm} \]`

Now, plug these values into the formula for the volume:

`\[ V = 169 \, \text{cm}^2 * 5 \, \text{cm} = 845 \, \text{cm}^3 \]`

Answer: c. 845 cm^3