Question

Can you help me with this question please?

Answer 1

V = (1/2) area of cross-section times length.

Note: I will use L in place of x to represent the length of the prism.

In short, V = (1/2)*b*h*L.

To find the surface area, use

A = bh + 2Ls + Lb

Volume given to be 15, 510.

Part (a) set up:

15, 510 = (1/2)(60)(11)L

Can you finish? Just solve for L to find your x-value.

Part (b) set up:

To answer part (b), you must find the value of L in part (a).

A = (60)(11) + 2L(61) + L(60)

Understand? Take it from here.