The volume f a tetrahedron is known to be 1/3(area of base) (height). From this, show that

Question:

The volume f a tetrahedron is known to be 1/3(area of base) (height). From this, show that the volume of the tetrahedron with edges a, b, and c is 1/6 |a ∙ (b × c)|.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

See More Books

Question Posted: Jun 21, 2016 10:57 AM

See More Questions

Find the volume of the described solid S. A tetrahedron with three mutually perpendicular faces and three mutually perpendicular edges with lengths 3 cm, 4 cm, and 5 cm
Repeat Exercise 12 assuming that the population standard deviation s is known to be 1.065 lb. Conduct the hypothesis test using a known value of the population standard deviation .
Find the volume of the tetrahedron with vertices (0, 2, 1), (4, 3, 0) (6, 6, 5), (4, 7, 8).
Ruff, Tuff, and Duff are parners sharing profits and losses 30/30/40 respectively. Their balance sheet is below: Cash Receivable from Ruff Property & Equipment $200,000 10,000 500,000 $710,000...
What are premium, discount, and par bonds?
A furniture cabinet maker produces two types of cabinets that house and hide plasma televisions. The Mission-style cabinet requires $340 in materials and 15 labor hours to produce, and it yields a...
A four cylinder, two-stroke cycle petrol engine develops $30 \mathrm{~kW}$ at $2500 \mathrm{rpm}$. The indicated mean effective pressure of each is $800 \mathrm{kPa}$ and \(\eta_{\text {mech...
What financial statement misrepresentations may result from an inconsistently applied credit policy? Be specific.
The pretrial hearings were set. The hearing was pertaining to both cases against me which consisted of seven counts. My dad also stood accused on the Indiana indictment which consisted of just 4 of...
Geneva Preschool provides free instruction for children from low-income families. Its January 1, 2016, trial balance is as follows: Debit Credit...
The formula for the volume of a parallelepiped derived in Example 4 should not depend on the choice of which one of the tree vectors we call a, which one we call b, and which one we call c. Use this...
Find all vectors perpendicular to both of the vectors a = i + 2j + 3k and b = -2i + 2j - 4k.
Ashley Geldenhuys, currently a student at UWC, had a business idea after making an appointment for her learners licence at one of the traffic departments. She saw a gap in the market for...
Marti, the owner of an expensive sports car, agreed in writing to sell the car to Berini. Because both parties recognized that some necessary engine repairs were needed, their contract did not...
Weintraub wished to donate a music rehearsal room to Northern College, from which she had graduated. She hired Hazelton, an architect who specialized in acoustics, to design the room. Shortly after...
A company has outstanding long-term bonds with a face value of $1,000, a 10% coupon rate, 25 years remaining until maturity, and a current market value of $1,214.82. If it pays interest semiannually,...
Birmingham Automotive Supply Company entered into a contract with the Excel Construction Company to build a chain-link fence around the property of the auto supply company. Included in the contract...
Westerfi eld contracted with Bradley Building Company for the construction of a ranch house as a wedding gift for his daughter. Before construction began, Westerfi eld died and Bradley announced that...
In Exercises (a) identify the domain and range and (b) sketch the graph of the function y = 1 + -
The swap spread is the difference between the swap rate and the equivalent-maturity Treasury bond yield. Explain why a widening swap spread may be a signal of deteriorating economic conditions. Plot...
The model in Section 5.5, Exercise 27. For the above problem, add direction arrows to the phase-plane.
The model in Section 5.5, Exercise 28. For the above problem, add direction arrows to the phase-plane.
The model in Section 5.5, Exercise 29. For the above problem, add direction arrows to the phase-plane.
can anyone let me know what the capital and non-capital purchases would be from the cash book records Ben's Bookkeeping Cash Receipts Journal GST Other receipts Date Rec no. Particulars Bank...
When assessing a foreign country, market managers have to evaluate how feasible it is to target the market. What are marketing model drivers and enabling conditions? Briefly explain using the example.
The firm is looking to invest (in Year 0) in the design and development of an e-bike docking station for which a Return on Investment (ROI) of 30% is desired by the firm which anticipates an annual...

The volume f a tetrahedron is known to be 1/3(area of base) (height). From this, show that

Question:

Step by Step Answer:

Let b and c determine the triangular base of the tetrahedr...View the full answer

Calculus

Students also viewed these Calculus questions