If x = 14 mm. and z = 30 mm., then the TOTAL SURFACE AREA of the square based pyramid is, _mm2.

Q: Solve for the area of a rhombus with sides of 20 cm and longer diagonal  of 32 cm

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Q: Find the dimensions of a rectangle with perimeter 68 m whose area is as large as possible. Show…

A: Given:Perimeter of a rectangle is 68 m.

Q: What are the dimensions of the base of a rectangular pyramidal frustum with a volume of 4400, a…

A: The volume of the pyramidal frustum is=h3×l×w+lw×l1w1+l1w1 where h=height  l1= length of the upper…

Q: A tank shaped like a right circular cone, vertex down, is 9 feet high and has

A: Given: Let h metres be the height of right circular cone. And d metres is diameter at time t. Then…

Q: Identify the number of faces, edges and vertices of the polyhedron.

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Q: Find the total surface area of the pyramid:

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Q: What are the dimensions of the lightest open-top right circular can that will hold a volume of…

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Q: Find the volume of the tetrahedron with the given vertices.(1, 1, 1), (0, 0, 0), (2, 1, −1), (−1, 1,…

A: The vertices of tetrahedron are A(1, 1, 1), O(0, 0, 0), B(2, 1, −1),C (−1, 1, 2) Then,

Q: The pyramid shown has a square base with sides 10 cm and the other edges all 13 cm long. Find the…

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Q: Compute the volume and surface area of a right regular octagonal pyramid for which the side of the…

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Q: Calculate the volume of a triangular mussel pie whose side edges are mutually perpendicular and have…

A: Given triangular prism of side edges are  10,15,9 cm. Volume of triangular prism = (1/2)*a*b*c V =…

Q: Give the dimensions of a box with 5 sides that has a surface area of 300 cm? and holds the largest…

A: Let the dimension of the box is l×b×h, so the surface area of five-sided box is: S=2lb+2bh+lh Given,…

Q: Find the volume of the tetrahedron with the given vertices.(1, 0, 0), (0, 1, 0), (0, 0, 1), (1, 1,…

A: We have given the vertices of tetrahedron; (1, 0, 0), (0, 1, 0), (0, 0, 1), (1, 1, 1) Since volume…

Q: If the dairy uses a rectangle container opti dimensions and the surface area be?

A: Given a dairy sells ice cream in 11.4 L cardboard container.

Q: Find the total surface area of a frustum of a right square pyramid whose upper and lower base edges…

A: To find out the total surface area of a frustum of a right square pyramid.

Q: Find the volume of the tetrahedron with the given vertices. (4, 0, 0), (0, 4, 0), (0, 0, 4), (4, 4,…

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Q: Find the volume of a right triangular prism whose height is 4 and base is a right triangle with legs…

A: Find the area of base and then multiply the area with height.

Q: Calculate the volume of a regular quadrilateral - pyramid if the base edge a = 10 cm and the apothem…

A: We can find the volume of the figure as below

Q: A block has a mass of 50 kg and a density of 8.91 gram per cubic cm. Find the largest area of a…

A: Mass of a block = 50 kg Density of a block =8.91g/cm3 Mentioned dimension are 10m, 12m, 12m.

Q: Find the volume of a right regular triangular pyramid, where the base edge x = 36 cm and the  height…

A: Given that: Find the volume of a right regular triangular pyramid, where the base edge x = 36 cm and…

Q: Construct a window whose middle is a rectangle and the top and bottom of the window are…

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Q: Find the volume of the tetrahedron having the given vertices. (4, -4, 1), (3, -5, 4), (2, 1, 1), (0,…

A: The given vertices are named as follows. P(4, -4, 1), Q(3, -5, 4), R(2, 1, 1) and S( 0, 0, 1).…

Q: Find the total area (surface area) of a regular hexahedron if each edge has a length of 4.2 cm.

A: here we have to find the total area (surface area ) of a regular hexahedron ,  each edge has a…

Q: Find the surface of a square pyramid with side length 2 m and slant height 2 m

A: A pyramid that has a  square base is said to be a square pyramid. The surface area of the square…

Q: A triangular pyramid with an equilateral base has a side length of 10 centimeters and a surface area…

A: Given data: The side of the equilateral triangle base is a=10 cm. The surface area of the triangular…

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

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Q: Find the lateral area and total area of a rectangular hexagonal pyramid with later edges 13 and base…

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Q: determine the surface area of an octahedron with edge equal to 5cm.

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Q: Find the volume of a pyramid with height 21 and rectangular base with dimensions 2 and 12.

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Q: parabolend=

A: I answered your Question of double integration. I hope u will be benefited from my solutions thank…

Q: 1. Find the total area and volume of frustum of regular square pyramid, whose base have sides 10 cm…

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Q: What is the surface area of an octagonal pyramid with slant height 16cm and whose side of octagon…

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Q: A square with dimensions 12 cm, 2 cm, 9 cm and a cube have equal volumes. Calculate the edge of the…

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Q: Find the area of inscribed circle of a regular hexagon whose side has length 8.

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Q: Find the dimensions of the largest box with a square base that can be cut from a solid sphere of…

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

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Q: Find the dimensions of a box with largest volume whose surface area is 100 cm?.

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Q: A storage hopper is in the shape of a frustum of a pyramid. Determine its volume if the ends of the…

A: A storage hopper is in the shape of a frustum of a pyramid. Determine its volume if the ends of the…

Q: Two identical cubes each of total surface area of 294 cm are joined end to end. What is the total…

A: Given,           Two identical cubes each of total surface area of 294 cm2 are joined end to end. To…

Q: what is the edge length of a dodecahedron with a volume of 958 cubic inches

A: Given : volume of dodecahedron is 958 cubic inches . To find the edge length

Q: Find the volume of the tetrahedron with the given vertices.(5, 4, −3), (4, −6, −4), (−6, −6, −5),…

A: The vertices of the tetrahedron are: A(5, 4, −3), B(4, −6, −4), C(−6, −6, −5), D(0, 0, 10) We need…

Q: Find the surface area of cube. 3 in

A: As we know  surface Area of cube =6(side)2

Q: Find the volume of a regular octahedron whose edge measures 6 m.

A: Given :- Side of octahedron = 6m .  To find :- volume of octahedron

Q: The edge of a regular dodecahedron is 6 m, what is its total surface area?

A: Given:  The edge of a regular dodecahedron is 6 m. To Find: Total surface area of the given regular…

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: Suppose prism B has bases which are regular hexagons of side 2 meters, a height of 3 meters, and a…

A: Base side length= L=2 meters Height=H=3 meters Surface Area=6LH+33 L2Surface Area=(6X2X3)+33(2)2…

Q: Multivariable optimization question

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Q: Calculate the total area of the truncated tetrahedron knowing that its edge measures 12 cm.

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

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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.