Question

PLEASE HELP ME MAY BE EASY BUT PLEASEPLEASEPLEASE ADD EXPLANATION

Answer 1

The length of the diagonal for the given rectangular prism to the nearest whole number is 12 cm.

Explanation:

The space diagonal is the diagonal connecting opposite corners of a rectangular prism. It is a line that goes from a vertex of the prism, through the center of the prism, to the opposite vertex.

The general formula for the length of a space diagonal is:

`d=√(x^2 + y^2 + z^2)`

where x, y and z are the width, height and length of the prism.

Given:

• x = 5 cm
• y = 9 cm
• z = 6 cm

Substitute the values into the formula and solve for d:

`\begin{aligned}\implies d&=√(5^2 + 9^2 + 6^2)\\&=√(25+ 81 + 36)\\&=√(142)\\&=11.91637...\; \sf cm\end{aligned}`

Therefore, the length of the diagonal for the given rectangular prism to the nearest whole number is 12 cm.