Answers
Set 71
- d.Choice ais a hexagonal pyramid; none of its six sides
perpendicularly meets its base. The sides of choice bonly
perpendicularly join one base side, and choice cis an oblique
quadrilateral; its base is facing away from you. Choice dis the
correct answer; it is a triangular right prism. - d.The solid in the figure has seven sides. Subtract two base sides,
and it has five sides, one for each edge of a pentagon. You will be
tempted to answer rectangle. Remember all right prisms have
rectangles. It is the polygon at the base of the rectangle that
defines the prism’s shape. - c.Since the formula for the volume of a right cube = s^3 , then 1,000
= s^3 , and s= 10 in. The surface area of a cube is 6 times (area of one
face). Therefore, the surface area will be 6(10 × 10) = 600 in^2. - b.A hexagonal prism must have a hexagon as one of its sides. A
right hexagonal prism has two hexagons. Choice ais a pentagonal
right prism; choice cis a decagonal right prism; and choice dis not
a prism at all. - d.Assume that the volume of the first box from Samara’s
roommate was lwh. Since the box Samara purchased had the same
width, but was twice as high and three times as long, the new box’s
volume should be expressed as (3l)(w)(2h) = 6lwh. Therefore, the
new box has a volume that is six times bigger and it should hold six
times as many books. 7 ×6 = 42. - c.Again, you are looking for a pyramid with the same base
measurements of the given cube. A 3-inch cube has a volume of
27 in^3. Twenty-seven choice a’s can fit into the given cube; meanwhile,
eighty-one choice d’s fit into that same cube. Only three choice c’s
fit into the given cube; it has one-third the volume.
501 Geometry Questions