Q:

A manufacturer uses a mold to make a part in the shape of a triangular prism. The dimensions of this part are shown below.Which estimate is closest to the volume in cubic millimeters of the part?A. 65B. 125C. 249D. 446

Accepted Solution

A:
Answer:   B. 125Step-by-step explanation:If you compute the actual volume as the product of the area of the triangle and the length of the piece, you get ...   V = Bh = (1/2)(14.4 mm)(2.1 mm)·(8.25 mm) = 124.74 mmThat is closest to choice B, 125 mm.___You can estimate the volume by rounding the dimensions. The triangle can be considered to be a rectangle of the same base width and half the height, so you are looking to estimate the product ...   (8.25 mm)(14.4 mm)(1.05 mm)That's about 8 × 15 × 1 = 120 . . . . mm³.Certainly, this is an estimate sufficiently close to allow you to choose the correct answer.