Baseballs are packed into a square box 25 in. on one side. The baseballs can be touching, but they can’t be compressed. (Diameter of a baseball is 2.9 inches) a. What are the dimensions of the box in terms of baseballs?

Q: 7. A large steel fuel tank is cylindrical in shape. In order to be light enough to be towed by a…

A: Given data: Total surface area (SA)=350 m2. Formula for the total surface area, SA=2πrh+2πr2.…

Q: A. 10 cm cubed       B. 15 cm cubed       C. 30 cm cubed       D. 90 cm

A: Given; A rectangular prism has a volume of 30 cm cubed. If the length of the prism triples and the…

Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

A: Given a silo made of hemisphere and cylinder. The costs of painting the wall, floor and roof are…

Q: Find the dimensions of a rectangular prism whose volume is (x4 ‒  y4) units3.

A: Given, Volume of rectangular prism is  (x4 ‒  y4) units3.   And according to definition; Volume of…

Q: A landscaper is laying sod in a rectangular front lawn that is 51 ft longer than it is wide. Its…

A: A landscaper is laying sod in a rectangular front lawn that is 51 ft longer than it is wide. Its…

Q: Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from…

A: This question is based on Mensuration chapter.

Q: Three water storage containers have the same volume in the shape of a cylinder, a cone, and a…

A: Given three water storage containers have the same volume in the shape of a cylinder, a cone and a…

Q: Enclosing the Largest Area The owner of the Rancho Grande has 3,012 yd of fencing with which to…

A:

Q: A rectangular piece of sheet metal is 5 inches shorter than it is wide. From each corner, a 2 x 2…

A:

Q: Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from…

A:

Q: If 1000 square centimeters of material is available to make a box with a square base and an open…

A:

Q: The volume of a solid truncated prism is 8200 cm^3. The base is rectangular with its length twice…

A: Let width be x, so length is 2x Edge lengths are 12, 12, 16, 16 cm So the volume of this figure will…

Q: In order for you to carry a bag on the plane, it must fit inside the Carry-on Baggage Check Box. The…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: If 1200 square centimeters of material is available to make a box with a square base and an open…

A: Let x be the length of the side of square base and x be the width of the box y be the height of the…

Q: gardener has 100 m of fencing to enclose to adjacent rectangular gardens the gardener wants the…

A:

Q: A triangular prism has height 7 cm. Its base is a right triangle with legs 6 cm and 14 cm. What is…

A:

Q: An open rectangular box is to be made from a piece of cardboard 8 inches wide and 15 inches long by…

A:

Q: 1. A cylindrical can of soda pop is 12 cm tall and has a diameter of 6 cm. The box for a 12- pack of…

A:

Q: A box with square ends of side x and a length L is to be made such that L+4x = 4 meters. The…

A:

Q: square pyramid and a triangular pyramid each have a base that measures 36 square inches. The volume…

A:

Q: balls

A: Please refer to the image below

Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

A: Given that a silo consists of a right circular cylinder surmounted by a hemisphere. We need to find…

Q: A square piece of green origami paper that is 6 inches on a side is being made into a gift box (with…

A: If the squares cut from the corners are  h×h  inches The open-top box will have a height of h a…

Q: Tennis balls are packed tightly in cylindrical containers, with three tennis balls in each…

A:

Q: Find the volume of a pyramid with a square base, where the perimeter of the base is 18.5 ft and the…

A: Base is square. Perimeter of the base = 18.5 ft 4a = 18.5 a = 18.54 = 4.625 ft

Q: the lid of a jewelry box is in the shape of a triangular prism . The lid has a height of 10 inches.…

A: The rough sketch of the given triangular prism is:

Q: A silo consists of a right circular cylinder surmounted by a hemisphere. Find the most economical…

A: Given,             The cost for the walls = Php 4/sq in             The cost for the floor = Php…

Q: The children's rectangular doorway to the mouse house at a local amusement park is similar to the…

A:

Q: An open rectangular box with square ends is to be made to hold 392 ft3 at a cost of ₱75/ft2 for the…

A:

Q: 3 5. The volume of the cube shown is x³ – 5x2 + 6x if one of the dimensions is x, which represents…

A: x3-5x2+6x⇒xx2-5x+6⇒xx2-3x-2x+6⇒xx-3x-2

Q: 16 in 16 - 2х 30 in 30- 2х

A: Given: Length of the each sides of a box is L=30-2x ; B=16-2x and H=x

Q: A box has square ends, and the sides are congruent rectangles. The total area of the four sides and…

A:

Q: a block is shaped like a rectangular prism with a length of 25 feet, a width of 12 feet, and a…

A:

Q: A rectangular piece of sheet metal has a length that is 4 in. less than twice the width. A square…

A: This question is based on Mensuration.

Q: Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from…

A: To determine the dimensions of the original piece of cardboard.

Q: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the…

A: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the…

Q: Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from…

A: let x be the original width of the rectangular sheet. Length is 10 more than the width. So ,…

Q: A square piece of green origami paper that is 6 inches on a side is being made into a gift box (with…

A: Given: A square piece of green origami paper

Q: #11) Chocolate Box Company is going to make open-topped boxes out of a 6-inch x 16-inch rectangle…

A: Given that: 11. Dimensions of the cardboard = 6 in x 16 in

Q: 1. A farmer has 2400 ft of fencing and wants to fence off a rectangular field that borders a…

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: One candle, in the shape of a right circular cylinder, has a height of 7.5 inches and a diameter of…

A:

Q: A rectangular box with an open top is to be made from a 5-inch by 8-inch piece of cardboard by…

A:

Q: If the density of a silver sphere is 10.5g/cm³, and the sphere has a radius of 6.13 cm, what is the…

A:

Q: 1. At math camp the lap pool is a rectangle that is (x2 – 16)ft by (x + 3)ft, the wading pool is a…

A:

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of the Norman…

A: We have to find radius of semicircle and height of rectangle.

Q: A box with a square base and open top must have a volume of 32,000 cm3. Find the dimensions of the…

A: Hair we use the second derivative test If second derivative of function is negative at critical…

Q: A trailer that travels on the road behind a truck is in the shape of a rectangular prism. It's…

A: Volume of a cuboid = length × breadth × height

Q: 13. A patio is configured from a rectangle with two right triangles of equal size attached at the…

A: Q 13: Length of rectangle = 20 ft Height of triangle = x ft Base of triangle = x-3ft Since patio is…

Q: 30,000 cm2 of material is available to make a box with a square base and an open top, find the…

A: We have to find the largest possible volume of the box.

Q: A rectangular box with an open top is to be made from a 9-inch by 24-inch piece of cardboard by…

A: This question is based on application of derivative.