The lateral edge of a square prism is 30 cm long and it is inclined at an angle of 70 degrees with the base. If the volume of the prism is1,500cm3,
1.what is the base edge?
2.What is the lateral area of the prism?
3.What is the total areas of the square prism?
1
Expert's answer
2020-10-25T19:05:56-0400
Volume of the prism:V=h∗Sbase
h−height
h=sin(70°)∗30=28.2cm
Sbase=V/h=1500/28.2=53.2cm2
The base of the prism is a square, so base edge is a=Sbase=7.3cm
Lateral area of the prism is Slateral=a∗lateraledge=7.3∗30=219cm2
Total areas of the square prism is Stotal=2∗Sbase+4∗Slateral=2∗53.2+4∗219=982.4cm2
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