A box for a 12-pack of soda has the dimensions of 4.8 inches X 21 inches X 7 inches. If a soda can had the diameter of 3.5 inches and a height of 4.8 inches, what volume of the box is going unused?

Q: Find the dimensions of the rectangular box with the largest volume if the total area is given as 64…

A: Given that total surface area =  64 cm^2. We know that, the surface area for the rectangular box…

Q: If a pizza with a dimeter of 12 inches feeds 4 people, how many people will a pizza with a diameter…

A:

Q: A large ice cream cone has a diameter of 4 inches. The height of the cone is 7 inches. If ice cream…

A: used formula :  V=(1/3)πr2h where V=volume of cone r= radius of cone  h=height of cone

Q: The width of a rectangle is 6 less than twice its length. If the area of the rectangle is 20 cm2cm2,…

A:

Q: A rectangular prism has a length of 13 feet, a height of 2 feet, and a width of 4 feet. What is its…

A: the volume of a rectangular prism is given by V=l·w·h here we have length l=13 feet  width w=4 feet…

Q: WHat are the dimensions of a rectangle whose perimeter is 56ft. and whose area is 180 sq. ft.?

A: Let x and y be the length and breadth of rectangle respectively. Firsstly, we use the formula for…

Q: A frame that measures 13 inches by 9 inches is of uniform width. The area of the picture inside is…

A: Recall: Area of the rectangle: l(length)×b(breadth)

Q: The length of a rectangle is twice its width. If the perimeter of the rectangle is 48 m, find its…

A:

Q: The length of a rectangle is  5 yd longer than its width. If the perimeter of the rectangle is…

A: Let the width= x yd So the length = (x+5) yd

Q: If you fold a square paper vertically, the new rectangle has a perimeter of 42 inches. What is the…

A: Question is solved.

Q: The study room across from Kendall’s office has dimensions 3 meters x 4 meters x 2.5 meters. How…

A:

Q: The length of a rectangular solid is twice the width, and the height is three times the width. If…

A: Given the volume of the solid is 162 cm 3 Let the width of the rectangular solid is x. According to…

Q: The preceding figure is composed of 5 equal-sized squares. If the perimeter of the figure is 96…

A: what is the area of the figure, in square inches?

Q: Two spheres have surface areas of 36cm squared and 49 cm squared. If the volume of the smaller…

A: Surface area of smaller sphereA1 is 36 cm2. Surface area of larger sphereA2 is 49 cm2. Consider the…

Q: The width of a rectangle is 18.4 cm less than the length, and the area is 1,958.4 cm2. What is the…

A: Given width is 18.4 cm less than length.

Q: A gardern is 4 feet longer than it is wide. If both width and length are increased by five feet and…

A: Let w be the width of the old garden. Then the length of the old garden is L = w + 4 The the area of…

Q: A small television has a picture with a diagonal measure of 10 inches and a viewing area of 48…

A: we assume screen of television as rectangle which length is l and breadth is b we know that area A…

Q: An aquarium is 16 in. high with volume of 4608 in.3 (approximately 20 gal). If the amount of glass…

A: Let the length and width of the aquarium be l and w and h=16 Hence the volume is given by lwh=4608…

Q: From a piece of cardboard 24cm x 15cm, a box is to be made by cutting equal squares out of its…

A: Here I am attaching image so that you understand each and every step.

Q: When the height of the metal in the mold is 11 centimeters , the volume of metal in the mold will be…

A: Consider:

Q: A board foor of wood is 144 inches cubed, or 1in x 12in  x 12in. A tree trunk that averages 2ft. in…

A:

Q: The diameter of a sphere is 20 cm. If you enlarge the radius of the sphere by four times, what will…

A:

Q: A painting measuring 10 inches by 16 inches is surrounded by a frame of uniform width. If the…

A:

Q: a rectangular room is 9 feet narrower than its length. if 162 square feet of carpet is needed to…

A: 162 square feet of carpet is need for room it mean area of floor of room is 162. Area = length×…

Q: A rectangular floor has an area of (x^2 + 13x + 40) m^2 . If the width is (x + 5) m, how long is it…

A:

Q: The stack of memo pads contains 500 sheets of paper. If each sheet of paper is 4 inches by 4 inches…

A:

Q: A picture that measures 10 inches by 9 inches is placed in a frame of uniform width. If the area of…

A:

Q: A frame that measures 11 inches by 10 inches is of uniform width. The area of the picture inside is…

A:

Q: The volume of two similar figures are 1125 cu. ft. and 72 cu. ft. If the surface area of the larger…

A: Given that the volume of two similar figures are 1125 cu. ft. and 72 cu. ft.  To find the surface…

Q: A snack food company has decided to package its new brand of crackers in a box shaped like a…

A: The volume of the box is 108 3/4 cubic inches. Volume=108 34 in3=108.75 in3Width=714 in=7.25…

Q: Measured in inches, a rectangular prism has   edges with 3 different integer lengths.   If the sum…

A: Given-  Sum of length of all the edges of a rectangular prism = 36

Q: A family-sized box of cereal with dimensions 3x9x12 inches costs $6, while the regular size with…

A:

Q: A frame that measures 13 inches by 11 inches is of uniform width. The area of the picture inside is…

A: NOTE: Refresh your page if you can't see any equations. . dimension of the frame is 13 by 11 let x=…

Q: If you had a gallon of water and you poured it into a cube shaped box that would fill the box…

A: Volume of cube To find side of cube in inches.

Q: An elevator at a construction site has a maximum capacity of 3000 pounds. If the elevator operator…

A: The elevator has a maximum capacity of 3000 pounds. The weight of the elevator operator is 245…

Q: The length of a rectangle is 9 ft less than twice the width. If the total area of the rectangle is…

A: The length of a rectangle is 9 ft less than twice the width. The total area of the rectangle is 35…

Q: A rectangular cake has a perimeter of 52 inches. If the length of the diagonal of the cake is 12…

A: The rectangle is a quadrilateral with two pairs of equal and parallel sides and four right angles. a…

Q: The length of a rectangle is three times its width. If the perimeter of the rectangle is 40 cm, find…

A:

Q: The base of a rectangular prism has dimensions measuring 8 feet by 17 feet. If the volume of the…

A:

Q: Mr. Trombley says that half a sphere stacked on top of a cone roughly models an ice Cream cone. Find…

A:

Q: The length of a rectangle is four times its width.If the perimeter of the rectangle is  80 in, find…

A: Let the width = x in  So the length = 4x in

Q: The area of a rectangular window is to be 306 square centimeters. If the length exceeds the width by…

A:

Q: The height of a cube furnitore piece is x+10 inches, If the volume of the cube is x+1000 CU. in. how…

A: Given that,Height of cube, h=(x+10) inchesVolume of cube,v=(x3+1000)cu.in=(x3+103)cu.in

Q: The length of a rectangle is 2 cm longer than its width. If the perimeter of the rectangle is 56 cm,…

A:

Q: The dimensions of a rectangular prism can be expressed as x + 1, x − 2, andx + 4. In terms of x,…

A:

Q: The new bookcase for your future dorm room has the dimensions of 24 in. wide by 12 in. deep by 36…

A: Width of the bookcase=25 inch Depth of the bookcase=12 inch Length of the bookcase=36 inch Volume of…

Q: A packing box has a volume of 30 cubic inches. How much would a similar box with twice the…

A:

Q: When the length of each edge of a cube is increased by 1 cm, the volume is increased by 61 cm'. What…

A: Since, it is given that Volume of Cube get increased by 61 cm3 wheneverthere is an increment in each…

Q: A box has a volume of 48 cubic inches. If all the dimensions of the box are cut in half, what is the…

A: According to the question:

Q: The surface area of a closed box is 200 square feet. If the width and height have the same…

A: Box shape is nothing but cuboid. Surface Area of closed box (Total surface area of cuboid) is 200…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.