The base of an oblique prism is an equilateral triangle of edge 20 cm. The lateral edges of the prism are 25 cm long and are inclined at a slope √3 horizontal to the plane of the base. Compute the volume of the prism. Hint: slope = tan(angle of inclination)

The base of an oblique prism is an equilateral triangle of edge 20 cm. The lateral edges of the prism are 25 cm long and are inclined at a slope √3 horizontal to the plane of the base. Compute the volume of the prism. Hint: slope = tan(angle of inclination)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.CR: Review Exercises

Problem 5CR: The base of a right prism is a triangle whose sides have lengths of 9 in. 15.in, The height of the...

See similar textbooks

Related questions

Q: 7a. Find the LATERAL AREA of a cone with a radius of 7cm and a slant height of 13cm. Round to the…

Q: A trough is 3 m long, 5 m wide, and 4 m deep. The vertical cross-section of the trough parallel to…

A: Base on the general formula of the work we will calculate the total work required for pumping fluid…

Q: Derive (1) from the formula S = arl for the surface area of a cone with slant height / and radius r.…

Q: In the right circular cone, a) find r correct to tenths. b) use L = mrl to find the lateral 10.2 cm…

A: Given: A right circular cone with slant height l = 10.2 cm To find: a) Radius r of the…

Q: Consider a right circular cylinder open top tin can with volume 1000 cm?. Suppose Rand H are the…

A: Given: Right circular cylinder with open top has volume 1000 cm3. R is the radius of the…

Q: A sphere with radius R is circumscribed around a cylinder. The cylinder has radius r and height that…

Q: in solving for the area bounded by y = x, y = 2x and x + y = 6 using a vertical element, he total…

Q: The lateral area L of any prism whose altitude measures h and whose base has perimeter P is given by…

Q: A planer takes a 1/16 in. Cut on a plate that is 3 1/2 in. Thick. What is the thickness of the plate…

Q: 9T- The area of the trapezoid at right is 56 cm². What is h? Show all work. 10 cm 6 cm

Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a vertical element, the total…

A: We have to find value of area AL

Q: Consider a right circular cylinder open top tin can with volume 1000 cm3. Suppose R and H are the…

A: Solve By minimizing surface area

Q: Give formulas for the volume V and the surface area S of a cone whose height h is nine times its…

A: We have given, Y= (x-2)0.5 Y=0 Y=1 X=2 We know if the radius and height of a cone are r unit and h…

Q: The area of a circle is (9r + 48rs + 64s³)n cm² where r and s are positive numbers. Express, in…

A: Question-(a) Given, Area of a circle is we know that, Formula for area of circle is where, R is…

Q: C. Find the approximate Change in The volume of a circutar cone of base radis r and height h, by…

Q: A cylinder of radius r sits snugly inside a cube. Which of the following expressions represents the…

A: Given, A cylinder of radius r sits snugly inside a cube.

Q: Find the volume of a cone with a radius of 3 inches and a height of 7 inches in terms of T.

A: We have to find the volume of cone with given radius 3 inches and a height of 7 inches in terms of…

Q: The surface area of a right-circular cone of radius r and heighth is S = Tr Vp2 + h², and its volume…

A: The radius of right circular cone = r height of this cone = hSurface area S = πrr2+h2Volume V =…

Q: A closed cylindrical can is to have a volume of V cubic units. Show that the can of min- imum…

Q: In a water treatment plant, a civil engineer must fabricate a settler with a regular cone shape V=…

A: Given, In a water treatment plant, a civil engineer must fabricate a settler with a…

Q: In solving for the area bounded by y = x, y = 2x and x + y = 6 using a vertical element, the total…

Q: A sphere with radius R is circumscribed around a cone with height h and radius r. The cone takes up…

Q: For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and…

Q: Show by integration that the area of the tri- angle formed by the line y 2x, the ordinates x=0 and…

Q: Find the surface area of the rectangular prism (above) using its net (below). 4 2 3 units

Q: The volume of the sphere is increasing at the rate of 6 cm?/hr. At what rate is its surface area…

Q: The radius and height of a right circular cone are measured with errors at most 3% and 2%…

A: Here, the given errors are: ∆rr×100=3,∆hh×100=2⇒∆rr=0.03,∆hh=0.02

Q: Since Dr. Jones is a mathematician, she suggests building fences described by y = 8a? and y = a2 +…

A: We will find the area

Q: Volume ofa sphere Clevei 1) unat is the volume ol ahemispheie with aradus of 39.4 E rand to the…

Q: Solid A is similar to Solid B. If the volume of Solid A is 3,240m^3 and the volume of Solid B is 15…

A: The answer is found in step-2

Q: Two vertical poles, 8 ft and 16 ft high, stand 18 ft apart on a flat field. A worker wants to…

Q: Two similar trapezoids have areas of 180 cm2 and 45 cm2. What is their ratio of similarity? O A. 1:2…

A: Solve for ratio

Q: A closed cylindrical can is to have a volume of V cubic units. Show that the can of min- imum…

Q: Let V be the volume of a pyramid of height 20 whose base is a square of side 8. Use similar…

Q: Find the length of the radius r of a right circular cone in which h = 6 yd and l = 8 yd.

A: Given that, Height of a right circular cone h = 6 yd Slant height of a right circular cone l=8 yd…

Q: For the right triangular prism, suppose that the sides of the triangular base measure 4 m, 5 m, and…

A: Basic formulas for area and volume are used.

Q: The volume V of the right circular cone is . If the height is twice the radius, which of the…

Q: are going to find the area of some trapezoids using the rule - x (side a + side b) x height h 6 mm…

Q: The volume of a right circular cone whose base has a radius r and that has a height of h is given by…

A: Given that: Volume of cone, V=π3r2h, h=10cm and r=30 cm and errors in height and radius = ±0.1cm

Q: h T 1

A: first we find radius of cone then find area of base of cone

Q: (3) Find the volume of a frustum of a right circular cone pictured below with height h, base radius…

A: We have to find the volume of a frustum of a right circular cone.

Q: - and a cone have congruent heights and radii. What is the ratio of the volume o the volume of the…

Q: Given the function: ((x^2)/9)+(((y^2)/4)e^0.2x)=1 revolve around the x-axis to make an egg and find…

A: The given curve is as follows: The equation of the curve is x29+y24·e0.2x=1. Thus, the curve…

Q: Suppose I coat a circular washer (shown below) which as inner radius 1 cm and outer radius 3 cm with…

A: Write the equation of circles and solve.

Q: A circular cone is 10 cm wide at the base and has a slant height of 8.5 cm. Determine: a. Volume of…

A: NOTE Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: The sphere below on the left has a radius r = 3 cm. If the sphere is enlarged by a factor of 4, how…

Q: The quadrilaterals ABCD and PORS are similar. Find the length x of QR.

Q: Consider a right circular cylinder open top tin can with volume 1000 cm³. Suppose R and H are the…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: An aluminum can is to be constructed to contain 2500 cm^3 of liquid. Let r and h be the radius of…

Question

100%

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

For a right circular cone, the dimensions are r=6 cm and h=8 cm. If the length of the radius is doubled while the height is made half as large in forming a new cone, will the volumes of the two cones be equal?
The base of a right prism is a triangle whose sides have lengths of 9 in. 15.in, The height of the prism is 10 in. find the a Lateral area. b total area. c volume.
The gasoline tank on an automobile is box-shaped with dimensions of 24 in. by 20 in. by 9 in. If 1 ft3 corresponds to 7.5 gal of gasoline, What is the capacity of the automobiles fuel tank in gallons?
The radius length of the base of a right circular cylinder is 6 in. The height of the cylinder is 10 in. Find the exact a Lateral area b total area c volume.
For the right triangular prism found in Exercise 16, suppose that the sides of the triangular base measures 3 ft, 4 ft, and 5 ft. The altitude is 6 ft in length. a Find the lateral area of the prism. b Find the total area of the prism. c Find the volume area of the prism.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the base area of a right circular cone that is 15.8 centimeters high and has a volume of 1070 cubic centimeters.
The base of a right prism is a triangle whose sides measure 7cm, 8cm and 12cm. The altitude of the prism measures 11cm.calculate the lateral area of the right prism.