The base of a straight prism is a rectangle, one of the sides of which is 15 cm
| June 25, 2021 | education
The base of a straight prism is a rectangle, one of the sides of which is 15 cm, and the dianonal is 17 cm. Find the volume of the prism if its height is 10 cm.
Since ABCD is a rectangle, then triangle ACD is rectangular, in which, according to the Pythagorean theorem, we determine the length of the hypotenuse AC.
CD ^ 2 = AC ^ 2 – AD ^ 2 = 289 – 225 = 64.
CD = 8 cm.
Determine the area of the base of the prism.
Sb = АD * СD = 15 * 8 = 120 cm2.
Let’s define the volume of the prism.
V = Sbn * AA1 = 120 * 10 = 1200 cm3.
Answer: The volume of the prism is 1200 cm3.
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