We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

I am confused by these questions. I need to find the volume of each one but I'm having a hard time. Please help! Thank you.

32) A prism 7 cm tall with a right triangle for a base with side lengths 6 cm, 8 cm, and 10 cm.

47) A pentagonal prism 6 ft tall with a regular base measuring 12 ft on each edge and an apothem of length 8.3 ft.

51) A pentagonal prism 9 mi tall with a regular base measuring 11 mi on each edge and an apothem of length 7.6 mi.

Guest Aug 28, 2018

#1**+1 **

32) A prism 7 cm tall with a right triangle for a base with side lengths 6 cm, 8 cm, and 10 cm.

You may not recognize this...but the base forms a "Pythagorean" right triangle with legs of 6 and 8 cm

The area of a right triangle is (1/2) ( product of leg lengths)

So...the area of the base = (1/2) (6 * 8 ) = (1/2) 48 = 24 cm^2

And the volume of the prism is just the base area x height = 24 x 7 = 192 cm^2

CPhill Aug 28, 2018

#3**+1 **

47) A pentagonal prism 6 ft tall with a regular base measuring 12 ft on each edge and an apothem of length 8.3 ft.

We will have 5congruent triangles forming the base...the height is 8.3 ft and the base = 12 ft

So...the base area is 5* (1/2) (8.3) * ( 12) = 249 ft^2

And the volume is base area x height = 249 * 6 = 1494 ft^3 CORRECT !!!

So 51 is similar....the volume is 9 * 5(1/2)(11) ( 7.6) = 1881 (miles??)^3....that's a big prism!!!!...LOL!!!

CPhill Aug 28, 2018