Two sides of a triangular lot measure 14 cm each. What is the maximum possible area of the triangle?

Q: A right pyramid 10m high has a square base of which the diagonal is 10m. Find the area of the…

A: Geometrical  pyramid  Area is   150 square meter

Q: 7. Find the length of one side of the base of a square pyramid if the height is 12m and the volume…

A:

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

A:

Q: The base edge of a square pyramid is 3 m and its altitude is 10 m Find the area of the section…

A: Given,           The base edge of a square pyramid is 3 m and its altitude is 10 m.To find: The area…

Q: The pyramid of Khufu is a regular square pyramid with a base edge of approximately 776 feet and an…

A:

Q: A rectangular billboard has a perimeter of 72 ft and an area of 288 ft2. Find the dimensions of the…

A:

Q: The base of the pyramid is 72 cm, and the length of TP = 15 cm. The volume of the pyramid is..

A: Let B be a base B=72cmLet h be a length of TP h=15cmVolume of pyramid =13Bh=13×72×15=360 cm3

Q: A cube has an edge of length 30. A rectangular solid has edge of lengths 20, 30 and L. If the cube…

A: Given: A cube has an edge of length 30. A rectangular solid has an edge of lengths 20, 30 and L.…

Q: A rectangular campsite on the shore of a lake is to be surrounded on three sides by a narrow, 90-m…

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: A 20 ft long water trough has ends in the form of isosceles triangles whose equal sides are 4 ft…

A:

Q: Find the total area of a pyramid whose base is a regular octagon with a given edge of 8 inches and…

A: The surface area of the octagonal pyramid is given as:

Q: equilateral triangles and whose

A: We have to find the area of the base of a regular pyramid according to the given information

Q: A regular hexagonal pyramid whose base perimeter is 60 cm has an altitude of 30 cm, the volume of…

A:

Q: 1.) pedro wishes to use vooft of fencing to enciose a Rectangular garolen. Determine the Maximum…

A:

Q: (a) Find the smallest perimeter possible for a rectangle whose area is 25in? and what are its…

A: Due to q & a guidelines I will answer for only 1st question

Q: What is the volume of a square-based pyramid with a base side of 4 cm and a height of 10 cm?

A:

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

A: Given, material available = 1200 cm2 Let's assume the sides of the square base = a Height of the…

Q: Find the surface area and volume of a triangular pyramid that has a slant height of 15, a height of…

A: We have to find area and volume

Q: What is the maximum volume of a square pyramid that can fit inside a cube with a side length of 14…

A:

Q: 35.) What is the volume of a square pyramid with a base edge of 14 m and a slant height of 25 m?

A:

Q: A rectangle has a perimeter of 100 cm. What dimensions will give the biggest area?

A:

Q: What is the lateral area of a square based pyramid if the side is 5 in and the height is 10 in?

A: I have used surface area fomula for pyramid

Q: Consider a right pyramid whose base is an equilateral triangle of side 4 cm each. If each slant edge…

A:

Q: When the radius of a sphere is doubled, the volume of the new sphere is as large as the volume of…

A: The new radius is 2r now, So, the new volume will be: V=43π(2r)3=43π(8r3)=843πr3=8(old volume)

Q: A poster must have 32 sq. in with margins of 4" each at t side. Find the dimensions o"

A: Given: A poster must have 32 sq. in. of printed matter.

Q: Calculate the lateral area of a regular quadrangular pyramid frustum knowing that the side of the…

A: Calculate the lateral area of a regular quadrangular pyramid frustum knowing that the side of the…

Q: A regular icosahedron has a volume of 200cm3. Find the length of the edge.

A:

Q: The volume of a pyramid whose base is a square is 551.67m³. If the altitude of the pyramid is…

A: As we know that the volume of the pyramid is: V=13×B×h Where, B is the base area and h is the…

Q: A prism has a volume of 213 ft3. what is the volume of a pyramid that has the same base and height…

A:

Q: Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of a Y. If…

A:

Q: Building Play Area

A:

Q: A company that manufactures dog food wishes to pack the food in closed cylindrical tins.  What…

A: Given volume of the can is (128)πcm3 Let height=h radius=x

Q: What is the volume of a regular hexagonal pyramid with base side length of 6 cm, apothem of 5.2 cm,…

A: Given, Base side length, l= 6cm,Apothem, a=5.2 cmHeight, h=15 cm

Q: Find the area of the base of a regular square pyramid whose lateral faces are equilateral triangles…

A:

Q: A cube has a volume of 512 in3. Wht is the length of each side of the cube?

A:

Q: Find the dimensions of the isosceles triangle of largest areathat can be inscribed in a circle of…

A: here first we make a circle of radius r and inside this make an isosceles triangle. This is shown in…

Q: find the surface area of a regular hexagonal pyramid whose height is four times longer than the…

A:

Q: C- An iron tank with a full cover in the form of a parallelepiped with a square base and a volume of…

A:

Q: A carpenter is building a rectangular room with a fixed perimeter of 392 ft. What dimensions would…

A: Let l & b be the length and breadth of the room

Q: he base of a right prism is an equilateral triangle whose edges is 10cm each and its lateral edge is…

A: Given: The base of a right prism is an equilateral triangle whose edges is 10cm each and its lateral…

Q: A cuboid measures 10 cm by 13 cm by 16 cm. After a maximum number of 3-cm cubes are cut from the…

A: Given: Dimensions of cuboid: Length(l)=10cm Breadth(b)=13cm Height(h)=16cm Volume of…

Q: Three sides of a trapezoid are 8 inches in length. How long must the fourth side be, so that the…

A: Given: Three sides of a trapezoid are 8 inches in length. Let the fourth side of trapezoid be 8+2x…

Q: A fencing is limited to 50m length. What is the maximum rectangular area that can be fenced in using…

A: Recall:  Area of rectangle=length*breadth

Q: Find the dimensions of a rectangle with a perimeter of 120 ft that has the largest possible area.

A:

Q: Find the dimensions of a rectangle with area 1728 m whose perimeter is as small as possible. (I both

A: Length of rectangle = 24√3 m  Width = 24√3 m

Q: The perimeter of a triangle is 102cm and its area is 431.1554cm2. Find the maximum diameter of a…

A: Given: Area of triangle = 431.1554 cm2 Perimeter of triangle = 102 cm We know that the incircle of a…

Q: If 4,800 cm2 of material is available to make a box with a square base and an open top, find the…

A:

Q: What is the volume of the largest cone having its circular base circumscribed about a face of a…

A: Given: Diamensions of rectangular parallelepiped are 2ft by 3ft by 4ft. To determine: Volume of the…