4. If 7,500 cm? of cardboard is available to make a box with a square base and an open top. Find the largest possible volume of the box.

Q: 4) Find the radius of sphere with a volume of 904.3 cm³.

A:

Q: A campground owner plans to enclose a rectangular field adjacent to a river.The owner wants the…

A: A campground owner plans to enclose a rectangular field adjacent to a river. The owner wants the…

Q: 36.) What has a greater volume; two regular cans of soup, each diameter of 8 cm and height 14 cm, or…

A:

Q: How many squares meters of brick pavement must be laid for a 4 meter wide walk around a circular…

A: Let 'r' be the radius of the circular flower bed, and 't' be the thickness of the pavement. Then the…

Q: 4. A homeowner wants to enclose three adjacent rectangular pens of equal size along a straight wall.…

A: We have to find the largest area that can be enclosed using only 240 feet of fence

Q: what is the volume of the regular pyramid to the nearest whole number

A: We want to find volume of a regular pyramid.

Q: 15. If 1200 cm² of material is available to make a box with a base and an open top, find the largest…

A:

Q: 4. A manufacturer wants to design an open box having a square base and a surface area of 1200 cm2.…

A: Given:  A manufacturer wants to design an open box having a square base and a surface area of 1200…

Q: 7. If 300 cm³ of material is available to make a box with a square base and an open top, find the…

A: Assume side of the square box is x and height is y. Hence, volume of the box is given by…

Q: 1. What is the length of the edge of a cube if its volume is 27 cubic meter? 2. What is the volume…

A: Formula:  Volume of the cube = a3 Diagonal of cube =√3.a Surface area of cube =6a2 Where a- edge…

Q: What is the edge of a cube whose volume is equal to that of a rectangular bar measuring 100 cm long,…

A:

Q: How many square meters of canvass are required for a conical tent 5.5 m high and 3 m diameter if 10%…

A: Here, we need to find the Lateral surface area of the cone with the given measurements. And, the…

Q: If an open box is made from a square tin sheet 12×12 in. by cutting an identical squares from each…

A: in this question, there is an open box made by 12*12in  tin sheet For the box to be of the largest…

Q: What is the edge of a cube whose volume is equal to that of a rectangular bar measuring 100 cmlong,…

A: Let the edge length of the cube be 'a' units

Q: b) A printer need to make a poster that will have a total area of 2000 cm? and will have 3 cm…

A:

Q: If the area of the red rectangle is 27 cm2 and O is the centre of a bigger circle, what is the total…

A: Let, the radius of the small Circle be r and that of the big circle be R.  So, 2r+2R = 24 So, r+R =…

Q: 1) The volume of a rectangular prism is 96 cubic inches. If the height is 8, and the length is 6,…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 8. What is the height of a cylinder if the area of the base is 735rtft² and the volume is 11760nft

A: use the volume of cylinder formula for evaluating height.

Q: 36. Arectangular ostrich pen built along the side of a river (so that only three sides of fence are…

A: 36)To find the maximum area

Q: What is the volume of an equilateral triangular pyramid with base side length of 9 cm, base height…

A:

Q: Calculate the volume of A prism with a triangle base of 2.3 m and height of 3 m and a length of…

A:

Q: 1. If the circumference of the base is 2 in and the height is 80 mm of a cone, find the volume in…

A: given,       circumference of the base of cone =2in. = 50.8mm       height =80mm

Q: 10. Given that a racquetball can is 7 inches tall and 1.6 inches in diameter and contains three…

A: Given: A racketball can with height, h = 7 inches, and diameter, D = 1.6 inches. It contains three…

Q: (8) If 1200 cm? of the material is available to make a box with a square base and an open top, find…

A: The volume of the box V=a2h

Q: A diagonal of a cube joins two vertices not in the same face. If the diagonals are 4V3 cm long, what…

A: Given: A diagonal of a cube joins two vertices not in the same face. Length of diagonals are 43  cm…

Q: In a concrete retaining wall of 10m long, 5m high and 200mm thick, if three rectangular holes of…

A:

Q: If the area of the base of the octagonal pyramid is 553.12 square feet and the height of the pyramid…

A: The formula for the volume of an octagonal pyramid is one-third of the product of the area of the…

Q: Suppose a farmer wants to put a fence around their square property that has an area of 66 units.…

A: Given query is to find the amount of fencing required.

Q: What is the total area of the original unfolded rectangle as shown if the total area of the figure…

A: To find the total area of the original unfolded rectangle as shown if the total area of the figure…

Q: 20. If the length of a side of a cube is 3x2, what is the volume of the cube? What is the surface…

A: The detailed solution is given below Thank you

Q: 4. If the length of the diagonal of a rectangular box must be L, what is the largest possible…

A:

Q: 4. Calculate the area of a Circle with a circumference of 130 cm. 5. If a sphere has a diameter of…

A:

Q: Find the volume of a cube with a side length of 2.8 m, to the nearest tenth of a cubic meter (if…

A: Given that, the side length of the cube is 2.8 m. It is known that, volume of a cube of side length…

Q: What is the volume of 1.9 in and 6.2 in

A: To find the volume of 1.9 in and 6.2in

Q: A cylinder is circumscribed about a cube. If the total area of the cube is 18 in?, what is the total…

A: Given: - A cylinder is circumscribed about a cube. The total area of the cube is 18 in2 To find: -…

Q: 5.) Find the volume of a basketball that has a circumference of 75 cm.

A:

Q: 4. Calculate the volume of a metal tube whose outside diameter is 8 cm and whose inside diameter is…

A:

Q: 1. What is the volume of a rectangular prism when the Length is 3, the width is 2 and the height is…

A: We can find the volume of the prism as below.

Q: 5. How many cubic yard of material are needed for the foundation of barn 12 m by 24 m., if the…

A: How many cubic yards of material are needed for the foundation of barn 12m by 24m, if the foundation…

Q: Suppose a rectangle has a perimeter of 120 cm. If the rectangle has a length of 32, what is the…

A: area of the rectangle = length * breath

Q: 2. If the edge of a cube is 1.75 m, then how many square centimeters are there in its entire…

A: Given :  Edge of Cube =a=1.75 m To find : surface area of cube in square centimeters

Q: If two prisms have equal volumes, must they also have equal total areas?

A: Given that  two prisms have equal volume. We need to check whether they have equal total area.

Q: 9) The base of a pyramid is a rectangle with a width of 4cm and a length of 6cm. Find, in…

A:

Q: What is the smallest perimeter possible for a rectangle whose area is 16 in2, and what are its…

A: Let l be the length and b be the breadth of the rectangle.

Q: 19) Find the volume of a rectangular pyramid which has length equal to half its width, a base area…

A: To find the volume of a rectangular pyramid which has length equal to half its width, a base area of…

Q: 6. If 1200 em of material is available to make a box with a square base and open top, find the…

A:

Q: Create a rectangle with a perimeter of 18 m and an area of about 20 000 cm2.

A:

Q: If 2000 square centimeters of material is available to make a box with a square base and an open…

A:

Q: 2. A rectangular sheet of cardboard 8 m by 4 m is used to make an open box by cutting squares of…

A: Volume of cube = a3Volume of cuboid =l×b×hWhere l is length , b is breadth and h is height .