A private shipping company will accept a box for domestic shipment only if the sum of its length and girth (the distance around) does not exceed 108 in. Suppose you want to mail a box with straight sides so that its dimensions are h by h by w and its girth is 2h + 2w. What dimensions will give the box its largest volume? A) 24 in. × 24 in. × 18 in. B) 18 in. × 18 in. × 36 in. C) 36 in. × 18 in. × 36 in. D) 18 in. × 18 in. × 90 in.
Cylinders
A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.
Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.
A private shipping company will accept a box for domestic shipment only if the sum of its length and girth (the distance around) does not exceed 108 in. Suppose you want to mail a box with straight sides so that its dimensions are h by h by w and its girth is 2h + 2w. What dimensions will give the box its largest volume?
A) 24 in. × 24 in. × 18 in.
B) 18 in. × 18 in. × 36 in.
C) 36 in. × 18 in. × 36 in.
D) 18 in. × 18 in. × 90 in.
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