Answer:
See the attached
Step-by-step explanation:
<u>Rectangular prism</u> — the lower case letters l, w, h in the formula stand for the values of Length, Width, and Height of the prism. Put the numbers in the formula and do the arithmetic. (As you know, when numbers are written next to each other, it means they are multiplied.)
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<u>Triangular Prism</u> — The formula is essentially ...
V = Bh
where B is the area of the (triangular) base of the prism, and h is its height (or length in this case). The area of the triangular base is given by the formula ...
B = (1/2)bh
where b is the base of the triangle (10 mm) and h is the height of the triangle (12 mm). The fact that the sides of the triangle are 13 mm is irrelevant for the volume calculation (but will be important for surface area calculation).
So, some confusion could arise here because the variable h is used for two different measurements of this prism. The attachment tries to sort it out for you using colors and arrows to identify what is what. (I apologize for the green not coming out very clear. The number in the formula is the same 10 mm number indicated on the prism diagram.)
