Mike needs to buy a water tank. The tank must fit inside a storage box that is shaped like a cube with the side lengths of 30 feet. Water tanks are available in cylinders, cones, square pyramids, and spheres. Mike wants to buy the tank that has the largest capacity.

Q: How much artificial turf should be purchased to cover an athletic field that is in the shape of a…

A: Please see the explanation below

Q: An interior designer is designing a round table whose radius is 23 inches. She would like to use a…

A: From the given data

Q: .) The Luxor Hotel in Las Vegas is a square base pyramid that is 646 feet wide at the II. How much…

A: The base of square pyramid is 646 feet and height of pyramid is 350 feet The amount of air will be…

Q: What is the perimeter of the shape above?

A: The given shape is consist of small squares. Considering the side of square is a.

Q: Below is a floorplan of a room with an attached alcove. The opening between the rooms is 5 feet wide…

A:

Q: The perimeter of a right triangle is 40cm, the hypotenuse is 17cm , and the shorter leg is 8cm. Find…

A: Formula used  Perimeter of triangle = sum of length of all sides Area of right angle triangle =…

Q: RQPO is a trapezoid. P 63° (6x +9)°.

A: The basic concept used in this question is that the sum of interior angles of quadrilateral is 360…

Q: Given the two similar octagons shown below, find the perimeter of the larger octagon. 28 Perimeter =…

A: Given that two octagons are similar. perimeter of smaller octagon is 34. That is,…

Q: Sandra built an enclosure for her rabbit in the shape of a regular octagon. The perimeter of the…

A: Perimeter of regular octagon is 24 feet. Number of sidesn of regular octagon is 8.…

Q: Alejandro buys a ring box that is 2 1/2 in x 3 in x 3 in. He places it in a rectangular prism. What…

A: The dimension of the ring box is .

Q: Below shows a diagram for a courtyard with sides that are two regular octagons. Given that the…

A: Given: Radius of inner octagon is, ri=35 ft. Radius of outer octagon is, r2=70 ft. Area of inner…

Q: A planter is shaped like a regular hexagon. The side lengths are 2 meters and the apothem is 1.72 m.…

A:

Q: Trent has an 8 foot tall tent in the shape of a square base pyramid with a base length of 14 feet.…

A:

Q: A right triangle has a hypotenuse of 24 cm and a height of 16 cm. What is the approximate perimeter…

A:

Q: An architect designed a semicircular tunnel so that two trucks can pass each other with a 3-foot…

A: (a) Given: Height of truck=12 feetWidth of truck=8 feetClearance between both trucks=3 feetVertical…

Q: 6.) Akiel is standing on the second floor of c school building, 65 feet above ground leve Justin is…

A: Given that: Akiel is standing on the second floor having height 65 ft above ground level.Justin is…

Q: 10. The height of a regular tetrahedron whose side is s. a) sv6 c.s/3/2 b) s/2/3 d) sv2 /3

A: Explanation and Solution is given below....

Q: ABCD is an isosceles trapezoid. Use the picture below and the information given to answer #2. B

A: Given,           ABCD is an isosceles trapezoid. ∠BCD=72°

Q: Ellen is drawing two polygons. One of the polygons has three more angles than the other. What shapes…

A:

Q: The height of a regular tetrahedron whose side is s. a) sv6 c. s/2/3 b) s/3/2 d) sv2 /3 S.

A: To find the height of a regular tetrahedron.

Q: Raymond needs to cover the entire surface of this square-based pyramid with paper. 11 ft 12 ft What…

A:

Q: Find the total surface area and the volume of a regular hexahedron if the measure of one edge is 12…

A: Here, we need to find the total surface area and the volume of a regular hexahedron if the measure…

Q: An octagon-based pyramid has a height of 18 cm and the base is 20cm^2 what is the volume

A:

Q: You are given an equilateral triangle whose perimeter is 24. Find the area of the triangle.

A: T find- the area of the triangle.

Q: 3. Trapezoid ABCD is shown. i 40 40 70- What is the length of AB A 30 B. 40 C. 50 D. 70

A: We know that,According to pythagoras theorem,Hypotenuse2 = Perpendicular2 + Base2From the figure,AB2…

Q: Jordan wants to cut a rectangular carpet with dimensions 32 cm by 80 cm into squares of equal size.…

A: I have provided an answer to this question in step-2

Q: Eric wants to put a fence around the triangular field shown in the diagram. How many yards of fence…

A: The amount of fence required is equal to the perimeter of the triangle given. Let the missing side…

Q: 10. The height of a regular tetrahedron whose side is s. a) sv6 c. s/3/2 b) s/2/3 d) sv2 /3

A: The height of a regular tetrahedron  whose side is s is given by

Q: Abby is making a decoration. When folded, the decoration is a triangular pyramid made of four…

A:

Q: 5 Gilbert wants to build a triangular flower garden by the front porch of his house. The garden will…

A: The length of AB=6 feet. The length of BC=4 feet.

Q: The bases of a frustum of a pyramid are 18cm by 18cm and 10cm by 10cm.  Its lateral area is 448 sq.…

A:

Q: Allison is going camping and needs to buy a canvas tarp to cover the top of her tent,which is in the…

A: Given tent is in shape of square pyramid.  A tarp is used to cover the top of the tent.  => tarp…

Q: Sally has a triangular coffee table that she wants to baby-proof with a protective edge. Side length…

A:

Q: Tito builds a model of the solar system. In his model, the diameter of the sphere representing…

A: Circumference of the circle = 2πr

Q: Three sides of a quadrilateral measure to be 10 m, 10 m, and 9 m. What is the measure of the missing…

A:

Q: Find the number of sides for a polygon whose sum of the measures of its interior angles is: a) 900°…

A: We have to number of sides for a polygon whose sum of the measure of its interior angles is: a)…

Q: 4. ABCD is an isosceles trapezoid. Find the m1 and 2. C. 30° 55 A

A: Given : ABCD is a Isosceles trapezoid.

Q: Raymond needs to cover the entire surface of this square-based pyramid with paper. 11 ft 12 ft

A:

Q: Ben wants to send his picture to rina. He want the picture frame to be golden rectangle so that he…

A: Given width of the frame (a)= 1 foot long

Q: b =4 cm а 3 3 ст

A:

Q: A toy manufacturer needs a piece of plastic in the shape of a right triangle with one leg 8 cm…

A: Given a toy manufacturer needs a price of plastic in the shape of a right triangle with one leg 8 cm…

Q: 35. The side of a rhombus measures 10 cm and one diagonal measures 12 cm. Find the length of the…

A: We have to use property of Rhombus:

Q: What is the volume of this pyramid? The length is 10 The width is 6 The height is

A: topic - volume of pyramid

Q: 4. The hypotenuse of an isosceles trapezoid measures 7 cm. How long is each leg? C. 7 V2 cm B. 3.5…

A:

Q: Sandra built an enclosure for her rabbit in the shape of a regular octagon. The perimeter of the…

A: given,  we have to find length of apothem.

Q: Sam works at a grocery store. he needs to change a rectangular display with the dimensions of 40cm…

A: The dimension of the rectangular display is 40 cm by 62.5 cm. Area of this display = l×b=40×62.5 =…

Q: The diagram at the right shows how a post was broken. What was the original height of the post? 2…

A: 1) We know that Pythagorean Theorem, (Hypotenuse)2=(base)2+(height)2…

Q: The playground at the local park is in the shape of a pentagon.  What is the perimeter of the…

A: