Transparent Acrylic Figures For Solid Geometry

Transparent Acrylic figures for School Maths Lab.

Removable Apertures and Fillable Cavities: Facilitates comparative volumetric analysis via displacement methods, enabling students to evaluate the 3:1 ratio between cylinders/cones and prisms/pyramids.

High-Transparency PMMA Walls: Allows for the visual identification of internal altitudes, slant heights, and vertices, supporting the Analysis of 3D spatial relationships and internal diagonals.

$6.36

Quick Answer: Transparent Acrylic figures are see-through geometric solids made of acrylic, so every edge, vertex and internal line can be seen at once. Maths labs use transparent acrylic figures to study faces, edges and space diagonals, visualise cross-sections and, where the figures are hollow, compare volumes by filling.

Seeing the Inside of a Solid

Wooden or opaque plastic shapes show only their outside, and students have to imagine the hidden edges and internal lines. In a clear acrylic figure the back edges are visible through the front, which removes much of the difficulty of drawing solids in perspective and of counting edges and vertices correctly.

The see-through form helps most with internal geometry. Students can point to a space diagonal of a cube and calculate its length as the side multiplied by √3, see where the slant height of a cone or pyramid lies compared with its vertical height, and picture the shape of a cross-section, such as the triangle or hexagon that appears when a plane cuts a cube at an angle.

If the figures are hollow, with an opening or a removable face, they can also be filled with water, sand or rice to compare volumes, such as a cone and a cylinder with the same base and height. The shapes included, their size and whether they are hollow or solid vary between sets and should be confirmed.

Specifications

Item	Set of transparent geometric solids
Material	Acrylic (as titled), clear so internal lines are visible
Concepts	Faces, edges, vertices, space diagonals, cross-sections, volume comparison
Typical level	Middle and secondary school solid geometry and mensuration
Shapes included, size, hollow or solid	Confirm at enquiry

Applications

Drawing solids with hidden edges shown dotted after viewing them from several angles
Locating and calculating the space diagonal of a cube or cuboid
Visualising cross-sections of prisms, pyramids and cubes
Comparing volumes by filling, where the figures are hollow

Care & Handling

Clean transparent acrylic figures with mild soapy water and a soft cloth; alcohol, acetone and many other solvents can craze acrylic.
Never use abrasive pads or rough paper towels, which scratch the surface; dry with a microfibre cloth.
Acrylic softens with heat, so keep the figures away from hot water, heaters and sunny windowsills.
After filling with sand or water, empty and dry each figure thoroughly before storage.

Why Choose LabEquip

Secondary teachers choose clear figures when students struggle to visualise the hidden edges and internal lines of solids. For volume relationships, the Volume Relationship Set is the dedicated companion, and both appear in LabEquip’s Mathematics School Lab Products range. Ask which shapes are in the current set through the contact page.

Frequently Asked Questions

Why are transparent figures easier to learn from than solid ones?

Students can see all the edges, including those at the back, and lines inside the shape such as diagonals and heights. This makes counting edges and vertices, drawing solids and visualising cross-sections much easier than with opaque models.

How long is the space diagonal of a cube?

For a cube of side a, the face diagonal is a√2, while the space diagonal, which joins opposite vertices and passes through the middle of the cube, is a√3. For a cuboid with sides l, b and h, it is the square root of l² + b² + h².

What cross-sections can a cube have?

Depending on the angle of the cutting plane, a cross-section of a cube can be a square, a rectangle, a triangle, a trapezium, a pentagon or a hexagon. A regular hexagon appears when the plane passes through the midpoints of six edges.

How should acrylic figures be cleaned?

Use lukewarm water with a little mild detergent and a soft cloth, then rinse and pat dry. Avoid alcohol, acetone, ammonia-based window cleaners and scouring pads, which can cloud, craze or scratch acrylic.

What is the difference between vertical height and slant height?

The vertical height of a cone or pyramid runs straight down from the apex to the base, at right angles to it. The slant height runs along the sloping surface from the apex to the edge of the base. In a clear model both lines are visible, and with the radius of a cone they form a right triangle.

Can the figures be filled with water?

Only hollow figures with an opening or a removable face can be filled. Where that is the case, water, sand or rice can be used to compare volumes. Solid acrylic figures are used for viewing edges and diagonals instead.

Last Updated: September 2026