Back to Tutor Intake Assessment: Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects

7.G.B.6 Tutor Intake -- Area, Volume, and Surface Area

This short check helps your tutor see where to start. Work on your own,
without a calculator. If you're unsure, give your best try — the goal is
to find what to work on together, not to grade you.

Grade 7·9 problems·~13 min·Common Core Math - Grade 7·standard·7-g-b-6

Work through problems with immediate feedback

Concepts

An L-shaped room has overall outer dimensions 9 m by 7 m, with a
3 m by 2 m rectangular section missing from one corner. What is
the floor area of the room, in square meters? Enter a number.

You need to know how much water a fish tank can hold. Which
measure answers this question?

Volume — the amount of space inside the tank.

Surface area — the total area of the tank's outer faces.

Perimeter — the distance around the base of the tank.

Area — the flat space covered by the tank's base.

Procedures

A right rectangular prism measures 6 cm by 4 cm by 5 cm. What is
its volume, in cubic centimeters? Enter a number.

A triangular prism has a triangular base with base 8 in and
height 5 in (measured across the triangle). The prism itself
(the distance between the two triangular ends) is 12 in long.
What is the volume, in cubic inches? Enter a number.

A rectangular prism measures 8 cm by 5 cm by 3 cm. What is its
total surface area, in square centimeters? Enter a number.

A square pyramid has a base 6 cm by 6 cm. Its VERTICAL height
(base to apex, straight up) is 4 cm, and its SLANT height (along
a triangular face, from a base edge's midpoint to the apex) is 5
cm. Which height should you use to find the area of ONE
triangular lateral face?

The slant height (5 cm)

The vertical height (4 cm)

The average of the two heights (4.5 cm)

Either height works, since both are "the height."

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