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Surface Area - All - Words to Formula

Level 1

This math topic focuses on finding surface area formulas for various 3D shapes, including spheres, cylinders, and rectangular pyramids. The problems require identifying the correct surface area formulas based on the given dimensions of the shapes. Students are presented with multiple choice answers accompanying each question, enhancing their understanding of geometric concepts related to surface area calculation in the broader context of volume and surface area of complex 3D shapes.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Surface Area - All - Words to Formula Worksheet

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Math worksheet on 'Surface Area - All - Words to Formula (Level 1)'. Part of a broader unit on 'Geometry - Volume and Surface Area of Complex 3D Shapes - Intro' Learn online: app.mobius.academy/math/units/geometry_cylinders_intro/
1
What is the formula for the surface area of this shape?
A Sphere with radius 3
a A LaTex expression showing SA = 4 over 3 Pi r to the power of 3
b A LaTex expression showing SA = 4 Pi r to the power of 2
2
What is the formula for the surface area of this shape?
A Cylinder with radius 4 and height 5
a A LaTex expression showing SA = 2 Pi r h + 2 Pi r to the power of 2
b A LaTex expression showing SA = Pi r to the power of 2 h
3
What is the formula for the surface area of this shape?
A Cylinder with radius 2 and height 4
a A LaTex expression showing SA = 2 Pi r h + 2 Pi r to the power of 2
b A LaTex expression showing SA = lw + l square root of (w over 2 ) to the power of 2 + h to the power of 2 + w square root of (l over 2 ) to the power of 2 + h to the power of 2
4
A Rectangular Pyramid with a base of 2 by 5 and a height of 4
What is the formula for the surface area of this shape?
a A LaTex expression showing SA = lw + l square root of (w over 2 ) to the power of 2 + h to the power of 2 + w square root of (l over 2 ) to the power of 2 + h to the power of 2
b A LaTex expression showing SA = Pi r (r + square root of h to the power of 2 + r to the power of 2 )
5
What is the formula for the surface area of this shape?
A Cylinder with radius 2 and height 3
a A LaTex expression showing SA = lw + l square root of (w over 2 ) to the power of 2 + h to the power of 2 + w square root of (l over 2 ) to the power of 2 + h to the power of 2
b A LaTex expression showing SA = 2 Pi r h + 2 Pi r to the power of 2
6
A Rectangular Pyramid with a base of 3 by 5 and a height of 4
What is the formula for the surface area of this shape?
a A LaTex expression showing SA = lwh over 3
b A LaTex expression showing SA = lw + l square root of (w over 2 ) to the power of 2 + h to the power of 2 + w square root of (l over 2 ) to the power of 2 + h to the power of 2
7
What is the formula for the surface area of this shape?
A Cylinder with radius 5 and height 4
a A LaTex expression showing SA = 2 Pi r h + 2 Pi r to the power of 2
b A LaTex expression showing SA = Pi r to the power of 2 h