Question

Help with 2 problems please thanks!

Answer 1

Question 1.

Correct Answer:
384 m²

Solution:
The lateral area of the prism = Perimeter of the base x Height

The bases are the sides with dimension 5 x 7 . So the perimeter of the base will be equal to 2(5+7) = 24 m 

Thus, the lateral area of prism = 24 x 16 = 384 m²

Question 2:

Correct Ans:
7.5 mm

Solution:
The slant height is the hypotenuse of the Right Angled Triangle which is formed by the half of the base length and the height. Base length of given prism is 9mm. So half of the base length will be 4.5mm. Height of pyramid is 6mm. Using Pythagorean Theorem, we get:

Slant Height = $\sqrt{ 4.5^{2} + 6^{2} }=7.5$ 

Therefore, the slant height of the pyramid will be 7.5mm