The diagram shows a prism with the length 18cm and volume 253.8 cm cube the cross section of the prism is a right angled triangle with base 6 cm and height h cm
Answers
Step-by-step explanation:
share diagrams please to avoid misunderstanding
Step-by-step explanation:
to calculate h cm you first need to calculate the area of the right angled triangle
for that use the formula:
Volume= cross section area × Length
volume is 253.8 and length is 18
dive volume by length to the get area
therefore, area = 253.8/18
= 4.7
for the second question we need to calculate the total surface area for taht we need to calculate the area of the upper surface, area of base,area of two triangle and the area of rectangle
so starting with the rectangle
area= 18×4.7=84.6cm²
then area of triangle
=14.1cm²
there are 2 triangles so 14.1×2=28.2cm²
the base is also a rectangle
so,
area=18×6=108cm²
area of upper surface= 18×7.6= 136.8
therefore, total surface area
= 84.6+28.2+108+136.8
=357.6