The volume of cube I is 331m ^ 3 less than the volume of cube II. If an edge of cube I is 10 meters , an edge of cube II is A) 14 meters B) 13 meters C) 12 meters D) 11 meters

Q: A big cube is made of 216 smaller cubes of length 1 cm. If the centre cube on each face and all…

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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: 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: 19. What is the volume of a square pyramid whose length of one side of its base is 9 cm and whose…

A: Volume of pyramid problem.....

Q: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

A: A box with a square base and with height is to be constructed so that it has a volume of 1000 cubic…

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: 3. Find the dimension of a rectangle with area 1000 m² whose perimeter is as small as possible.

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Q: Determine the volume (in cm3) of a right prism whose altitude is 4 cm and whose base is a right…

A: The volume of right prism whose base is right angle triangle= Area of base traingle × Altitude of…

Q: A rectangular field measures 12 m long and 18 m wide. It will be equaly partitioned into small…

A: Length of rectangular field is l=12 m and width is b=18 m. Area of the rectangular field is A=lb…

Q: A shipping container is in the shape of a right rectangular prism with a length of 11.5 feet, a…

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Q: A tank formed into a triangular prism whose base is a right triangle with legs of 8 cm and 6 cm…

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Q: A company plans to enclose three parallel rectangular areas for sorting returned goods. The three…

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Q: A gusset is the shape of a right triangular prism. If the right triangular base has dimensions 3.0…

A: Given: Of a triangular prism, the right triangular base has dimensions 3.0 in. by 4.0 in by 5.0 in.…

Q: Norman builds a rectangular pig pen with two parallel partitions using 150 meters of fencing…

A: let the length of Pig pen be "a"width be " b" Perimeter=150 metresPerimeter = 2(a+b)…

Q: 2. Calculate the volume of a water cylinder with total height of 10 meters and whose diameter is 400…

A: Given:height=10mDiameter=400 cmVolume of a cylinder=2πrh1m =100 cm

Q: A rectangular field is to be covered by 800-meter of hog wire in such a way that one side has a…

A: Area of a rectangle with length x and breadth y is given by x.y. Perimeter of a rectangle with…

Q: A box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by…

A: Four square pieces at the corners of a square cardboard of size 3 × 3 feet.  And it was made into a…

Q: A poster is to have an area of 900 cm2 with 4-cm margins at all four sides.  What dimensions of the…

A: Let the length of poster be x cm Let the width of poster be y cm So, area of poster =x×y

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: 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: A cardboard box with a square base and an open top is to be constructed from a square of cardboard…

A: The schematic representation is shown below. Since the box is open at the top, the volume of the…

Q: A pressure tank has a hemispherical base surmounted by a right circular cylinder and which in turn…

A: Given data: The diameter of all 3 parts of the tank is, r=1.83 m. The altitude of cylinder is,…

Q: A right rectangular prism has a length of 2 1/2 feet, a width of 3 feet and a height of 1 1/2 feet.…

A:

Q: 4. A farmer with 160 ft of fence wishes to use the fence to enclose a rectangular area and then…

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Q: A box is to be constructed from a piece of zinc 20 inches square by cutting equal squares from each…

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Q: Find the volume of the parallelepiped with the sides ü = (3,1,2), v =(4,5,1), w=(1,2,4). %|

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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: (a) An open top box will be prepared by removing squares from each corner of the piece of cardboard…

A: Sides of the cardboard is 45 cm and 24 cm. Let the squares of side x cm be removed from each corner…

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: An open-typed rectangular box is to be made from a piece of cardboard 24 cm long and 9 cm wide by…

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Q: If a cube has a volume of 64. What is it’s edge length

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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…

A:

Q: Calculate the volume of a water cylinder with total height of 10 meters, diameter of 400…

A: Radius of cylinder = Radius of Hemisphere = R = Diameter2 = 4002 = 200 cmTotal Height of container =…

Q: A pressure tank has a hemispherical base surmounted by a right circular cylinder and which in turn…

A: we know that volume of semi sphereV1, volume of right circular coneV2 and volume of cylinder V3 is…

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

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Q: By cutting a wedge from paper disk of radius r, a cone shaped water cup can be made by joining the…

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Q: 12. Find the volume of a right circular cylinder that can be circumscribed about a cube whose…

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Q: A rectangular lot which has an area 120sq.m will be divided into two portions such that the product…

A: Consider the rectangular is divided into two portions with areas x and y. So, x +y = 120…

Q: 2. Calculate the volume of the parallelepiped created by PA, PB and PC , when Р (3, — 2, 1), A(5, —…

A: The formula for the volume of a parallelepiped determined by the vectors a, b, and c (where a, b and…

Q: 2. Carl builds a rectangular pig pen with two parallel partitions using 150 meters fencing…

A: We can solve the given problem by using the second derivative test.

Q: What is the largest possible volume of a rectangular box whose diagonal has length L?

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Q: Thelateraledgesofaregularhexagonalpyramidareall20cmlong,andthebaseedges are all 16 cm long. To the…

A: We have to find the volume and the surface area of the regular hexagonal pyramid

Q: A box with an open top is to be constructed from a square piece of cardboard, 24 inches wide, by…

A:

Q: A farmer with 750 ft of fencing wants to enclose a rectangular region and then divide it into four…

A: Solve for the lager rectangle dimension and area of large rectangle

Q: A shipping container is in the shape of a right rectangular prism with a length of 1.5 feet, a width…

A: Pounds and lbs are both the same. So the answer is 95 lbs.

Q: . A box with a square base and open top must have a volumeof 32,000 cm cu .  . Find the dimensions…

A: To Determine: Find the dimensions of the box that minimize the amount of material used Given: A box…

Q: 3. If find the largest possible volume for the box. 1200cm of material is available to make a box…

A: We can find the answer as below.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.